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

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

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

The solution is x=(ln(3))/(2ln(2))+2

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4^{x - 2} = 3

x = \frac{ln ( 3 )}{2 ln ( 2 )} + 2

Decimal Notation

x = 2.79248 \dots

Solution steps

4^{x - 2} = 3

Apply exponent rules

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

Solve

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

x = \frac{ln ( 3 )}{2 ln ( 2 )} + 2

1 8^{2 x - 3} = 2 0^{x + 1}

\frac{2 ^{x - 3}}{4 ^{1 - x}} = 1

625 (5^{x - 2}) - 5^{x} = 120

12 \cdot 1.1 7^{t} = 56

5 = 8^{x}

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