What is the answer to 6^{1/2 x}=10 ?

The answer to 6^{1/2 x}=10 is x=(2ln(10))/(ln(6))

Solve for x: 6^{1/2 x}=10

The solution is x=(2ln(10))/(ln(6))

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6^{\frac{1}{2} x} = 10

x = \frac{2 ln ( 10 )}{ln ( 6 )}

Decimal Notation

x = 2.57019 \dots

Solution steps

6^{\frac{1}{2} x} = 10

Apply exponent rules

\frac{1}{2} x ln (6) = ln (10)

Solve

\frac{1}{2} x ln (6) = ln (10) : x = \frac{2 ln ( 10 )}{ln ( 6 )}

x = \frac{2 ln ( 10 )}{ln ( 6 )}

5^{x} = 32

2^{x + 2} + 2^{x} = 5

10 \cdot 1 0^{x} = 60

1 6^{2 x + 3} = 2^{3 x + 2}

\frac{2 7 ^{x}}{9 ^{2 x - 1}} = 3^{x + 4}

What is the answer to 6^{1/2 x}=10 ?
The answer to 6^{1/2 x}=10 is x=(2ln(10))/(ln(6))
Solve for x: 6^{1/2 x}=10
The solution is x=(2ln(10))/(ln(6))