What is the answer to 6^{x+2}=72 ?

The answer to 6^{x+2}=72 is x=(ln(72))/(ln(6))-2

Solve for x: 6^{x+2}=72

The solution is x=(ln(72))/(ln(6))-2

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6^{x + 2} = 72

x = \frac{ln ( 72 )}{ln ( 6 )} - 2

Decimal Notation

x = 0.38685 \dots

Solution steps

6^{x + 2} = 72

Apply exponent rules

(x + 2) ln (6) = ln (72)

Solve

(x + 2) ln (6) = ln (72) : x = \frac{ln ( 72 )}{ln ( 6 )} - 2

x = \frac{ln ( 72 )}{ln ( 6 )} - 2

7^{x + 1} = 3^{x + 2}

4^{x} = 8^{x + 1}

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

3^{x + 1} = 3^{5}

3^{2 x - 1} = 81

What is the answer to 6^{x+2}=72 ?
The answer to 6^{x+2}=72 is x=(ln(72))/(ln(6))-2
Solve for x: 6^{x+2}=72
The solution is x=(ln(72))/(ln(6))-2