What is the answer to 3^x=sqrt(144) ?

The answer to 3^x=sqrt(144) is x=(ln(12))/(ln(3))

Solve for x: 3^x=sqrt(144)

The solution is x=(ln(12))/(ln(3))

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3^{x} = 144

x = \frac{ln ( 12 )}{ln ( 3 )}

Decimal Notation

x = 2.26185 \dots

Solution steps

3^{x} = 144

Apply exponent rules

x ln (3) = \frac{1}{2} ln (144)

Solve

x ln (3) = \frac{1}{2} ln (144) : x = \frac{ln ( 12 )}{ln ( 3 )}

x = \frac{ln ( 12 )}{ln ( 3 )}

a, m^{a + 1} = 0.5

8 \cdot 2^{x} = 4

4^{x + 2} = 8^{2 x}

7 (7^{2 x}) + 20 (7^{x}) - 3 = 0

2^{x - 1} = 20

What is the answer to 3^x=sqrt(144) ?
The answer to 3^x=sqrt(144) is x=(ln(12))/(ln(3))
Solve for x: 3^x=sqrt(144)
The solution is x=(ln(12))/(ln(3))