What is the answer to 5^{3x+4}=40 ?

The answer to 5^{3x+4}=40 is x=(ln(2/5))/(ln(5))

Solve for x: 5^{3x+4}=40

The solution is x=(ln(2/5))/(ln(5))

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5^{3 x + 4} = 40

x = \frac{ln ( \frac{2}{5} )}{ln ( 5 )}

Decimal Notation

x = - 0.56932 \dots

Solution steps

5^{3 x + 4} = 40

Apply exponent rules

(3 x + 4) ln (5) = ln (40)

Solve

(3 x + 4) ln (5) = ln (40) : x = \frac{ln ( \frac{2}{5} )}{ln ( 5 )}

x = \frac{ln ( \frac{2}{5} )}{ln ( 5 )}

5^{3 x + 4} = 35

5^{3 x + 4} = 20

5^{x} - 625 = 0

x, 2^{y - x} = 5^{x}

5^{3 x + 4} = 10

What is the answer to 5^{3x+4}=40 ?
The answer to 5^{3x+4}=40 is x=(ln(2/5))/(ln(5))
Solve for x: 5^{3x+4}=40
The solution is x=(ln(2/5))/(ln(5))