What is the answer to 3^{x+2}=15 ?

The answer to 3^{x+2}=15 is x=(ln(15))/(ln(3))-2

Solve for x: 3^{x+2}=15

The solution is x=(ln(15))/(ln(3))-2

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3^{x + 2} = 15

x = \frac{ln ( 15 )}{ln ( 3 )} - 2

Decimal Notation

x = 0.46497 \dots

Solution steps

3^{x + 2} = 15

Apply exponent rules

(x + 2) ln (3) = ln (15)

Solve

(x + 2) ln (3) = ln (15) : x = \frac{ln ( 15 )}{ln ( 3 )} - 2

x = \frac{ln ( 15 )}{ln ( 3 )} - 2

x + e^{x} = 2

7^{3 x - 2} + 7^{2} = 50

5^{2 x - 4} = 2^{5 x}

5 e^{x + 2} = 7

2^{x - 1} + 2^{x - 2} + 2^{x - 3} = 112

What is the answer to 3^{x+2}=15 ?
The answer to 3^{x+2}=15 is x=(ln(15))/(ln(3))-2
Solve for x: 3^{x+2}=15
The solution is x=(ln(15))/(ln(3))-2