What is the answer to 12^{x-1}=1500 ?

The answer to 12^{x-1}=1500 is x=(ln(1500))/(ln(12))+1

Solve for x: 12^{x-1}=1500

The solution is x=(ln(1500))/(ln(12))+1

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1 2^{x - 1} = 1500

x = \frac{ln ( 1500 )}{ln ( 12 )} + 1

Decimal Notation

x = 3.94305 \dots

Solution steps

1 2^{x - 1} = 1500

Apply exponent rules

(x - 1) ln (12) = ln (1500)

Solve

(x - 1) ln (12) = ln (1500) : x = \frac{ln ( 1500 )}{ln ( 12 )} + 1

x = \frac{ln ( 1500 )}{ln ( 12 )} + 1

2 \cdot 2^{x} + 4^{x} = 80

e^{x} = \frac{4}{x}

8^{y} = 1 6^{y + 2}

6^{m + 5} = 7

4^{x} = 1024

What is the answer to 12^{x-1}=1500 ?
The answer to 12^{x-1}=1500 is x=(ln(1500))/(ln(12))+1
Solve for x: 12^{x-1}=1500
The solution is x=(ln(1500))/(ln(12))+1