Question

Use the change of base formula to evaluate the expression then convert it to a logarithm in base eight round to the nearest thousandth

Answer 1

Recall that the change of base formula for logarithms is:

`\log_a(b)=(\log_x(b))/(\log_x(a)).`

Using the change of base formula for logarithms to the given logarithm we get:

`\log_354=(\log_8(54))/(\log_8(3)).`

Therefore:

`\log_3(54)=3.631.`

And: