Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

solve. then round answer to the nearest hundredth. 6^x-3=52

Mathematics
See more answers at brainly.com
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.

Join Brainly to access

this expert answer

SIGN UP FOR FREE
|dw:1342135467157:dw|
\[6^{x-3} = 52\]You will need to use logarithms to solve this one
Specifically, you will need to use the property of logarithms such that will allow you to work with the exponent: So, if you have \[x^y\], if you take the log of this you obtain: \[log_a(x^y) = y * log_a(x)\]The exponent now becomes a factor in the product

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

For your equation, you will want to take the logarithm of both sides, then you can solve for x. You can use any base for the logarithm: \[log_a\] I'm sure you're familiar with the concept of logarithms, but here is nice way to remember what it does: you can say that when you have the expression: \[log_ab = x\]You are looking for the number you raise 'a' to in order to obtain 'b' is 'x'. \[a^x = b\] \[log_28=3\]The number you raise 2 to in order to obtain the value 8, is 3. \[2^3 = 8\]
Does this seem familiar or helpful?
yes..
OK, cool, I see that you had a similar question - http://openstudy.com/users/coolaidd#/updates/4fff44afe4b09082c0707aad
thanks
Do you think you can solve this problem?
log_5 x=3 x = 5^3 = 125
sorry!
6^(x - 3) = 52 (x - 3) ln 6 = ln 52 x - 3 = ln 52/ln 6 x = 3 + ln 52/ln 6 ≈ 5.20523
Yeah, nice!
thanks! :)
Sure, good luck with the rest of your studies! Maybe you can help with some questions even ;)

Not the answer you are looking for?

Search for more explanations.

Ask your own question