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Mathematics 17 Online
OpenStudy (code45):

solve log3(4)

OpenStudy (anonymous):

1.90848501887 want me 2 continue on?

OpenStudy (code45):

yes how do i get that answer can you show me step by step

OpenStudy (anonymous):

i punched it in my calc lol

OpenStudy (anonymous):

\[\log_{3}\times4\]

OpenStudy (code45):

but if I do 3^1.908 i get 8.134?

OpenStudy (anonymous):

yup!

OpenStudy (anonymous):

\[log_3(4)=\] for reference \[a^x=y\] \[log_a(y)=x\] Your base, a=3 y=4 \[3^x=4\] to solve for x \[log(3^x)=log(4)\] Note, the log with no base, assumes it is base 10, or \[log_{10}\] \[log(3^x)=xlog(3)=log(4)\]divide both side by log(3) to isolate x \[x=\frac{log(3)}{log(4)}\]

OpenStudy (anonymous):

I did it wrong :/ *sad face*

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