What is the answer to 4^{2x-3}=6^4 ?

The answer to 4^{2x-3}=6^4 is x=(ln(288))/(2ln(2))

Solve for x: 4^{2x-3}=6^4

The solution is x=(ln(288))/(2ln(2))

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4^{2 x - 3} = 6^{4}

x = \frac{ln ( 288 )}{2 ln ( 2 )}

Decimal Notation

x = 4.08496 \dots

Solution steps

4^{2 x - 3} = 6^{4}

Apply exponent rules

(2 x - 3) ln (4) = 4 ln (6)

Solve

(2 x - 3) ln (4) = 4 ln (6) : x = \frac{ln ( 288 )}{2 ln ( 2 )}

x = \frac{ln ( 288 )}{2 ln ( 2 )}

x 0.2 7^{4 - 4 x} = 3^{- 9 x}

5^{x} - 1 + 5^{x} - 2 = 30

2^{x} = 0.25

(3^{42} \cdot 9^{12})^{\frac{1}{3}} = 3^{k}

x, 2^{2 y + 4} = 1 6^{x}

What is the answer to 4^{2x-3}=6^4 ?
The answer to 4^{2x-3}=6^4 is x=(ln(288))/(2ln(2))
Solve for x: 4^{2x-3}=6^4
The solution is x=(ln(288))/(2ln(2))