What is the answer to 9^{x+3}=30 ?

The answer to 9^{x+3}=30 is x=(ln(30))/(2ln(3))-3

Solve for x: 9^{x+3}=30

The solution is x=(ln(30))/(2ln(3))-3

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9^{x + 3} = 30

x = \frac{ln ( 30 )}{2 ln ( 3 )} - 3

Decimal Notation

x = - 1.45204 \dots

Solution steps

9^{x + 3} = 30

Apply exponent rules

(x + 3) ln (9) = ln (30)

Solve

(x + 3) ln (9) = ln (30) : x = \frac{ln ( 30 )}{2 ln ( 3 )} - 3

x = \frac{ln ( 30 )}{2 ln ( 3 )} - 3

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

7 - 3 e^{- x} = 2

y, (3^{3})^{- 1} = x^{y}

6 \cdot e^{0.25 t} = 9

64 \cdot 4^{3 x} = 16

What is the answer to 9^{x+3}=30 ?
The answer to 9^{x+3}=30 is x=(ln(30))/(2ln(3))-3
Solve for x: 9^{x+3}=30
The solution is x=(ln(30))/(2ln(3))-3