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Mathematics 22 Online
OpenStudy (anonymous):

6500=5000(1.042)^x

OpenStudy (anonymous):

Find x?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

Use a logarithm.

OpenStudy (anonymous):

i got it to 13=10(1.042)^x

OpenStudy (anonymous):

Is it \(13 = 10 * 1.024^x\) ?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

i just dont remember how to solve for variables as exponents

OpenStudy (anonymous):

Do you know about logarithms?

OpenStudy (anonymous):

its been a long summer maybe

OpenStudy (anonymous):

First, you must isolate \(1.024^x\)

OpenStudy (anonymous):

\[6500=5000(1.042)^x\] \[\frac{6500}{5000}=1.042^x\] \[1.3=1.042^x\] \[log_{10}(1.3)=x*log_{10}(1.042)\] \[\frac{log_{10}(1.3)}{log_{10}(1.042)}=x\] \[x \dot{=}6.377\]

OpenStudy (anonymous):

Then, when you have \(1.024^x = y\), you do this to find \(x\): \[x = \log_{1.024}(y)\]

OpenStudy (anonymous):

@KeithAfasCalcLover , you're not supposed to just give away the answer.

OpenStudy (anonymous):

i just needed to see it

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