What is the answer to 10^{x/4}=62 ?

The answer to 10^{x/4}=62 is x=(4ln(62))/(ln(10))

Solve for x: 10^{x/4}=62

The solution is x=(4ln(62))/(ln(10))

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1 0^{\frac{x}{4}} = 62

x = \frac{4 ln ( 62 )}{ln ( 10 )}

Decimal

x = 7.16956 \dots

Solution steps

1 0^{\frac{x}{4}} = 62

Apply exponent rules

\frac{x}{4} ln (10) = ln (62)

Solve

\frac{x}{4} ln (10) = ln (62) : x = \frac{4 ln ( 62 )}{ln ( 10 )}

x = \frac{4 ln ( 62 )}{ln ( 10 )}

2^{x + 3} + 2^{x + 4} = 96

4^{2 x - 1} = 3^{2 x + 3}

x, x r - e^{x} = 0

8^{x} = \frac{1}{2}

1 6^{x} + 4^{x} - 6 = 0

What is the answer to 10^{x/4}=62 ?
The answer to 10^{x/4}=62 is x=(4ln(62))/(ln(10))
Solve for x: 10^{x/4}=62
The solution is x=(4ln(62))/(ln(10))