Question

Logarithm help, check my answer?

Answer 1

I got C but I'm not sure

Answer 2

i got c as well

Answer 3

@Austin6i6 Would you mind explaining how

Answer 4

\(\log_{\,3}58=x \Rightarrow 3^x=58\)
\(\log3^x=\log58\Rightarrow x\log3=\log58\)
\[x=\frac{ \log58 }{ \log 3 }\]

Answer 5

change of base formula

Answer 6

Oh okay, so C is right? @pgpilot326

Answer 7

calculate.

then for 2nd part\[4^{\frac{ \log58 }{ \log3 }}=y\Rightarrow \log_4y=\frac{ \log58 }{ \log3 }\]use the first to find y and rewrite using the second

Answer 8

@pgpilot326 I got like 20.494, but the first half I got 3.696, so its C or D, how to find the second half again?