What is the answer to 5^{3x-1}=0.08 ?

The answer to 5^{3x-1}=0.08 is x=(ln(0.4))/(3ln(5))

Solve for x: 5^{3x-1}=0.08

The solution is x=(ln(0.4))/(3ln(5))

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5^{3 x - 1} = 0.08

x = \frac{ln ( 0.4 )}{3 ln ( 5 )}

Decimal Notation

x = - 0.18977 \dots

Solution steps

5^{3 x - 1} = 0.08

Apply exponent rules

(3 x - 1) ln (5) = ln (0.08)

Solve

(3 x - 1) ln (5) = ln (0.08) : x = \frac{ln ( 0.4 )}{3 ln ( 5 )}

x = \frac{ln ( 0.4 )}{3 ln ( 5 )}

3^{2 x - 3} = 2 7^{\frac{x + 1}{2}}

e^{5 - 4 x} = 3

2401 = 7^{6 - 2 x}

5^{x + 1} - 5^{x} = 20

What is the answer to 5^{3x-1}=0.08 ?
The answer to 5^{3x-1}=0.08 is x=(ln(0.4))/(3ln(5))
Solve for x: 5^{3x-1}=0.08
The solution is x=(ln(0.4))/(3ln(5))