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jok3333 [9.3K]
3 years ago
10

Solving Exponential Equations (lacking a common base) Solve the exponential equation: 7^g=14

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0

Answer:

g =1.356207187

Step-by-step explanation:

7^g =14

Take the log on both sides

log (7^g) = log 14

We know that log a^b = b log a

g log 7 = log 14

Divide each side by log 7

g log 7 /log 7 = log 14 / log 7

g = log 14 / log 7

g =1.356207187

Marta_Voda [28]3 years ago
8 0

Answer:

g = 1.356

Step-by-step explanation:

Use logs both sides

log(7^g) = log(7×2)

glog7 = log7 + log2

g = 1 + log2/log7

g = 1.3562071871

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