Question

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Answer 1

Take logarithm on both sides and solve for x.

Answer 2

Use the identity: \[\Large \log(A)^B = B * \log(A)\]

Answer 3

Take log on both sides. Left side:
\[\Large \log(125)^{7x-2} = (7x-2) * \log(125)\]
Right side:\[\Large \log(150)\]

Answer 4

(7x-2) * log(125) = log(150)
divide both sides by log(125)
7x - 2 = log(150) / log(125) = 1.0378
Add 2 to both sides
7x = 3.0378
divide both sides by 7
x = 3.0378 / 7 = 0.4340