What is the answer to 5^{3x-2}=40 ?

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

Solve for x: 5^{3x-2}=40

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

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5^{3 x - 2} = 40

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

Decimal Notation

x = 1.43067 \dots

Solution steps

5^{3 x - 2} = 40

Apply exponent rules

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

Solve

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

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

2^{2 x - 1} - 5 \cdot 2^{x - 1} + 2 = 0

2. 4^{x} + 3 = 20

(\frac{5}{3})^{4 x - 12} = 1

g (4) = 3 e^{t} - 2 t

2019.54 = 73 5^{n}

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