What is the answer to 5^{3x+4}=20 ?

The answer to 5^{3x+4}=20 is x=(ln(4/125))/(3ln(5))

Solve for x: 5^{3x+4}=20

The solution is x=(ln(4/125))/(3ln(5))

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5^{3 x + 4} = 20

x = \frac{ln ( \frac{4}{125} )}{3 ln ( 5 )}

Decimal Notation

x = - 0.71288 \dots

Solution steps

5^{3 x + 4} = 20

Apply exponent rules

(3 x + 4) ln (5) = ln (20)

Solve

(3 x + 4) ln (5) = ln (20) : x = \frac{ln ( \frac{4}{125} )}{3 ln ( 5 )}

x = \frac{ln ( \frac{4}{125} )}{3 ln ( 5 )}

5^{x} - 625 = 0

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

5^{3 x + 4} = 10

7^{3 x + 2} = 140

4^{- 0.2 x} + 1 = 0

What is the answer to 5^{3x+4}=20 ?
The answer to 5^{3x+4}=20 is x=(ln(4/125))/(3ln(5))
Solve for x: 5^{3x+4}=20
The solution is x=(ln(4/125))/(3ln(5))