I've been having a touch of trouble with solving logarithms with uneven bases. For example 8^x-10=3^x+2 Now I know that in order to solve I need to log8^x-10=log3^x+2 then you move the power out in front of the logs like so x-10 log8=x+2 log3 this is where I stumble, you find the approximate value of the log soo (x-10)(.903)=(x-2)(4.77) It's after this step were I get lost.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

I've been having a touch of trouble with solving logarithms with uneven bases. For example 8^x-10=3^x+2 Now I know that in order to solve I need to log8^x-10=log3^x+2 then you move the power out in front of the logs like so x-10 log8=x+2 log3 this is where I stumble, you find the approximate value of the log soo (x-10)(.903)=(x-2)(4.77) It's after this step were I get lost.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

  • phi
if it was (x-10)*2 = (x-2)*3 what would you do? I would distribute, and combine "like terms"
  • phi
btw, I assume you meant log(3) = 0.47712 (not 4.77)
  • phi
so do this \[ (x-10)(.903)=(x-2)(0.477) \\ 0.903x -9.03 = 0.477x -0.954 \]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

  • phi
can you finish?
Yea one sec
.426x=-.051 -/051/.426=-.119
Except x is supposed to = 23.44 ... So I did something wrong
  • phi
ok, then step by step \[ 8^{(x-10)}=3^{(x+2)} \\ \log\left( 8^{(x-10)}\right) = \log\left( 3^{(x+2)} \right) \] \[ (x-10) \log(8) = (x+2) \log(3) \] rather than approximate the logs, treat them as numbers (which is what they are) \[ x \log(8) - 10\log(8) = x \log(3) + 2 \log(3) \\ x \log(8) - x \log(3) = 10\log(8) + 2 \log(3) \\ x ( \log(8) - \log(3) ) = 10\log(8) + 2 \log(3) \\ \] and finally \[ x = \frac{10\log(8) + 2 \log(3) }{ \log(8) - \log(3)} \]
  • phi
btw, my first equation I managed to write (x-2) instead of x+2. That was bad. but, do you follow the steps up above? to get the final answer you need a calculator
I get 10.57.... not 23.44
  • phi
what do you get for the top? (btw, I'm getting 23.44102, so it does work out)
I type in 10log(8)+2log(3) and get 9.985...
  • phi
ok, now the bottom
.4259...
  • phi
I get 0.425969 which rounds to 0.4260 to 4 digits but ok now 9.985/ 0.426
  • phi
if you keep more digits , you will get a more accurate answer
  • phi
if you type the expression into google like this (10 log 8 + 2 log 3)/(log 8 - log 3)= you get out 23.441021894
  • phi
but I would learn how to use a calculator (it is a useful to know how to do complicated expressions)

Not the answer you are looking for?

Search for more explanations.

Ask your own question