Question

Write log8 3 as a logarithm of base 5.

Answer 1

Use the formula to change base!

Answer 2

The logs can be broken down into the following:
\[\log_{8}3 = (\log3/\log8)\]
\[\log_{5} x= (\logx/\log5)\]
since they must be equal we can set them to each other and solve for the variable:
\[(\log3/\log8)=(\log x/\log5)\]
rearrange and solve for x. (Note:logs without bases are base 10, can also use ln for calculations)