What is the answer to 4^{x-3}=9 ?

The answer to 4^{x-3}=9 is x=(ln(3))/(ln(2))+3

Solve for x: 4^{x-3}=9

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

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4^{x - 3} = 9

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

Decimal Notation

x = 4.58496 \dots

Solution steps

4^{x - 3} = 9

Apply exponent rules

(x - 3) ln (4) = ln (9)

Solve

(x - 3) ln (4) = ln (9) : x = \frac{ln ( 3 )}{ln ( 2 )} + 3

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

e^{2 x} - 10 e^{- 2 x} = 0

(300 \cdot 400) = 12 \cdot 1 0^{x}

n^{3} = 1. 5^{n}

3 e^{x + 1} - 5 = 7

What is the answer to 4^{x-3}=9 ?
The answer to 4^{x-3}=9 is x=(ln(3))/(ln(2))+3
Solve for x: 4^{x-3}=9
The solution is x=(ln(3))/(ln(2))+3