What is the answer to 5^{4x-2}=120 ?

The answer to 5^{4x-2}=120 is x=(ln(3000))/(4ln(5))

Solve for x: 5^{4x-2}=120

The solution is x=(ln(3000))/(4ln(5))

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5^{4 x - 2} = 120

x = \frac{ln ( 3000 )}{4 ln ( 5 )}

Decimal

x = 1.24365 \dots

Solution steps

5^{4 x - 2} = 120

Apply exponent rules

(4 x - 2) ln (5) = ln (120)

Solve

(4 x - 2) ln (5) = ln (120) : x = \frac{ln ( 3000 )}{4 ln ( 5 )}

x = \frac{ln ( 3000 )}{4 ln ( 5 )}

7^{x} + 7^{x + 3} = 2408

5^{2 x - 4} = 3

x e^{x} - 2 e^{x} = 0

4^{x + 2} = 256

2 = y + 2 e^{y}

What is the answer to 5^{4x-2}=120 ?
The answer to 5^{4x-2}=120 is x=(ln(3000))/(4ln(5))
Solve for x: 5^{4x-2}=120
The solution is x=(ln(3000))/(4ln(5))