What is the answer to 12^{x+5}=300 ?

The answer to 12^{x+5}=300 is x=(ln(300))/(ln(12))-5

Solve for x: 12^{x+5}=300

The solution is x=(ln(300))/(ln(12))-5

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1 2^{x + 5} = 300

x = \frac{ln ( 300 )}{ln ( 12 )} - 5

Decimal Notation

x = - 2.70462 \dots

Solution steps

1 2^{x + 5} = 300

Apply exponent rules

(x + 5) ln (12) = ln (300)

Solve

(x + 5) ln (12) = ln (300) : x = \frac{ln ( 300 )}{ln ( 12 )} - 5

x = \frac{ln ( 300 )}{ln ( 12 )} - 5

a^{x} = e^{x l n (a)}

2^{x} \cdot 2^{x - 2} = 2

4 e^{2 x} = 9

2^{20 x + 10} = 4^{10 x + 5}

7^{x + 4} = 8^{x}

What is the answer to 12^{x+5}=300 ?
The answer to 12^{x+5}=300 is x=(ln(300))/(ln(12))-5
Solve for x: 12^{x+5}=300
The solution is x=(ln(300))/(ln(12))-5