Question

Question #b1a93

Answer 1

`x =56`

Explanation:

`log(x+4)-log6=1`

First step. The terms must be all logs or all numbers.
Do something with the 1. We know `1 = log 10`
(As no bases are shown, we assume they are 10.)

`log(x+4)-log6=log 10`

Second step
Write two log terms as one log term. single number/fraction)

If log terms are being added, then the numbers are being multiplied.
If log terms are being subtracted, then the numbers are being divided

`log((x+4)/(6) ) = log10`

Drop the logs on each side If log A = log B, then A = B

`(x+4)/(6) = 10`

Solve the equation

`x+4 = 60`
`x =56`

Substitute the answer into the original equation to check .

`log56 - log6 =1`