What is the answer to 5^{5x-2}=40 ?

The answer to 5^{5x-2}=40 is x=(3ln(10))/(5ln(5))

Solve for x: 5^{5x-2}=40

The solution is x=(3ln(10))/(5ln(5))

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5^{5 x - 2} = 40

x = \frac{3 ln ( 10 )}{5 ln ( 5 )}

Decimal Notation

x = 0.85840 \dots

Solution steps

5^{5 x - 2} = 40

Apply exponent rules

(5 x - 2) ln (5) = ln (40)

Solve

(5 x - 2) ln (5) = ln (40) : x = \frac{3 ln ( 10 )}{5 ln ( 5 )}

x = \frac{3 ln ( 10 )}{5 ln ( 5 )}

10 e^{- 0.03 x} = 4

3 (2^{1 - x}) = 7^{x}

3^{x} + \frac{2}{3 ^{x - 1}} = 5

625 = 2 5^{x - 10}

0.125 = 128 (\frac{1}{2})^{n}

What is the answer to 5^{5x-2}=40 ?
The answer to 5^{5x-2}=40 is x=(3ln(10))/(5ln(5))
Solve for x: 5^{5x-2}=40
The solution is x=(3ln(10))/(5ln(5))