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

The answer to 5^{3x+2}=40 is x=(ln(8/5))/(3ln(5))

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

The solution is x=(ln(8/5))/(3ln(5))

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5^{3 x + 2} = 40

x = \frac{ln ( \frac{8}{5} )}{3 ln ( 5 )}

Decimal Notation

x = 0.09734 \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 ( \frac{8}{5} )}{3 ln ( 5 )}

x = \frac{ln ( \frac{8}{5} )}{3 ln ( 5 )}

2^{(3 x^{3} + 11 x^{2} - 4 x)} = 1

3^{x - 2} - 3^{x + 1} + 78 = 0

8^{x} \cdot 4^{2 x - 1} = 32

5 e^{2 x} = 19

n, (1 - 0.01)^{n} = 0.01

What is the answer to 5^{3x+2}=40 ?
The answer to 5^{3x+2}=40 is x=(ln(8/5))/(3ln(5))
Solve for x: 5^{3x+2}=40
The solution is x=(ln(8/5))/(3ln(5))