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

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

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

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

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4^{x - 3} = 5

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

Decimal Notation

x = 4.16096 \dots

Solution steps

4^{x - 3} = 5

Apply exponent rules

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

Solve

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

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

2^{x - 1} + 2^{x - 2} = 6

2^{2 n} = 4^{n}

12 x \cdot 3^{x + 1} = 648

2 7^{x + 5} = 81

6 \cdot 2^{x} = 14

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