Question

8^n=1/495 <-Fraction Logarithmic -I need help solving for the missing number (n)?

Answer 1

`log_8(1/495) = -2.98`

Explanation:

Because `log_8(495) = 2.98` (to 3 significant figures), by using the inverse logarithmic rule, `log_8(1/495)` should be `-2.98`.

Therefore `8^-2.98 = 1/495`,
and `n = -2.98`.

Answer 2

`log_8(1/495)= n`
or
`log(1/495)/(log8)= n`

Explanation:

Steps:
Take the log of both sides
`log8^n=log(1/495)`

Take the exponent to the front:
`nlog8=log(1/495)`

Divide by `log8`
`n= log(1/495)/log8`

OR
Know that `log_b(a)= x`
Then `b^x=a`

So:
`log_8(1/495)= n`
or
`log(1/495)/(log8)= n`