(1.05)^x = 2.5 Round your answer to the nearest tenth. how would i do this step by step? 2. ___ √ 3x = 50 Round your answer to the nearest tenth.

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.

(1.05)^x = 2.5 Round your answer to the nearest tenth. how would i do this step by step? 2. ___ √ 3x = 50 Round your answer to the nearest tenth.

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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

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

Apply logarithm of base 10 to both the sides \[\log_{10}((1.05)^{x})=\log_{10}(2.5)\] Rule: 1.\[\log(x^y)=y.\log(x)\] (true for all base) 2.\[\log_{a}a=1\] log of any number to it's base is 1 3.\[\log(a \times b)=\log(a)+\log(b)\] 4.\[\log(\frac{a}{b})=\log(a)-\log(b)\] Also true for all base 5.\[\log(1)=0\] Also true for all base \[x.\log_{10}(1.05)=\log_{10}(\frac{10}{4})\] Here's the first I've applied property 1 to left side and written right side 2.5 as 10/4 use property 4 on right side now Note on the right side I've written 2.5 as 10/4
Ok so i just do (1.05)(10/4) or... what
Do you know about logarithms?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

ok Consider an example \[(0.4)^x=\frac{0.25}{100}\] Apply log of base 10 to both sides \[\log_{10}(0.4)^x=\log_{10}(\frac{0.25}{100})\] Use rule 1 on left side and rule 4 on right side \[x.\log_{10}(0.4)=\log_{10}(0.25)-\log_{10}(100)\] Now we can write 0.4 as 4/10 0.25 as square of 0.5 and 100 as square of 10 so do that \[x.\log_{10}(\frac{4}{10})=\log_{10}((0.5)^2)-\log_{10}(10^2)\] Property 4 on left and property property 1 on right \[x[\log_{10}(4)-\log_{10}(10)]=2\log_{10}(0.5)-2\log_{10}(10)\] We can write 4 as 2 square and 0.5 as 1/2 so do that \[x[\log_{10}(2^2)-\log_{10}(10)]=2[\log_{10}(\frac{1}{2})-\log_{10}(10)]\] Use properties to simplify further \[x[2\log_{10}(2)-\log_{10}(10)]=2[\log_{10}(1)-\log_{10}(2)-\log_{10}(10)]\] Now put the values in, \[\log_{10}(2)=0.3010\] By property 2 and property 5 the other values are \[\log_{10}(10)=1\]\[\log_{10}(1)=0\]\[x[2 \times 0.3010-1]=2[0-0.3010-1]\]\[-0.398x=-2.06\]\[x=\frac{2.06}{0.398}\approx 5.176\]
sorry didnt mean to bump

Not the answer you are looking for?

Search for more explanations.

Ask your own question