What is the answer to 5^{3x-2}=4^x ?

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

Solve for x: 5^{3x-2}=4^x

The solution is x=(2ln(5))/(3ln(5)-2ln(2))

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5^{3 x - 2} = 4^{x}

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

Decimal Notation

x = 0.93517 \dots

Solution steps

5^{3 x - 2} = 4^{x}

Apply exponent rules

(3 x - 2) ln (5) = x ln (4)

Solve

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

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

\frac{3 2 ^{x}}{8} = 8^{150}

6. 9^{x} = (0.3)^{- x}

5 (1.08)^{x} = 20

2^{2 x + 1} = 5

2^{2 x + 1} = 0

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