What is the answer to 5(7)^{5x}=60 ?

The answer to 5(7)^{5x}=60 is x=(ln(12))/(5ln(7))

Solve for x: 5(7)^{5x}=60

The solution is x=(ln(12))/(5ln(7))

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5 (7)^{5 x} = 60

x = \frac{ln ( 12 )}{5 ln ( 7 )}

Decimal Notation

x = 0.25539 \dots

Solution steps

5 (7)^{5 x} = 60

Divide both sides by

5

7^{5 x} = 12

Apply exponent rules

5 x ln (7) = ln (12)

Solve

5 x ln (7) = ln (12) : x = \frac{ln ( 12 )}{5 ln ( 7 )}

x = \frac{ln ( 12 )}{5 ln ( 7 )}

5^{n} = \frac{1}{125}

2^{x} = 3072

a^{x} - a^{7} = 0

x, y = c e^{\frac{y}{x}}

8^{2 - x} = 8^{5 x - 7}

What is the answer to 5(7)^{5x}=60 ?
The answer to 5(7)^{5x}=60 is x=(ln(12))/(5ln(7))
Solve for x: 5(7)^{5x}=60
The solution is x=(ln(12))/(5ln(7))