Question

Solve: log (7t + 2) = 2
t =​

Answer 1

`t=14`

Explanation:

We begin with the equation:
`log(7t+2)=2`

The first thing we must do is remove the log. In this case, the base of this log is 10, which means that we must have each side of this equation have a base of 10.

This gives us

`10^(log(7t+2)) =10^2`

The base 10 and the log will cancel out to give us

`7t+2=100`

Then we can solve for t

`7t+2=100\\\\7t=98\\\\t=(98)/(7) \\\\t=14`

Answer 2

t = 14

Explanation:

log (7t + 2) = 2

Raise each side to the power of 10

10 ^log (7t + 2) =10^ 2

7t+2 = 100

Subtract 2 from each side

7t+2-2 = 100-2

7t = 98

Divide each side by 7

7t/7 = 98/7

t = 14