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Ivan
3 years ago
11

Solve: log (7t + 2) = 2t =​

Mathematics
2 answers:
IrinaK [193]3 years ago
7 0

Answer:

t = 14

Step-by-step 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

ivann1987 [24]3 years ago
4 0

Answer:

t=14

Step-by-step 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=\frac{98}{7} \\\\t=14

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