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

The answer to 6^{3x-2}=4*2^x is x=(2ln(12))/(ln(108))

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

The solution is x=(2ln(12))/(ln(108))

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

x = \frac{2 ln ( 12 )}{ln ( 108 )}

Decimal Notation

x = 1.06144 \dots

Solution steps

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

Apply exponent rules

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

Solve

(3 x - 2) ln (6) = ln (4) + x ln (2) : x = \frac{2 ln ( 12 )}{ln ( 108 )}

x = \frac{2 ln ( 12 )}{ln ( 108 )}

4^{a} + 4^{a - 2} = 34

8^{x} = 12

6^{2 x + 6} = 1

e^{x} - 3 x = 0

What is the answer to 6^{3x-2}=4*2^x ?
The answer to 6^{3x-2}=4*2^x is x=(2ln(12))/(ln(108))
Solve for x: 6^{3x-2}=4*2^x
The solution is x=(2ln(12))/(ln(108))