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Question :

10^x=25

Solve the equation

x = 2 lo g_{10} (5)

Alternative Form

x \approx 1.39794

Evaluate

1 0^{x} = 25

Take the logarithm of both sides

lo g_{10} (1 0^{x}) = lo g_{10} (25)

Evaluate the logarithm

x = lo g_{10} (25)

Solution

More Steps

Evaluate

lo g_{10} (25)

Write the number in exponential form with the base of 5

lo g_{10} (5^{2})

Use lo g_{a} b^{n} = n lo g_{a} b to simplify the expression

2 lo g_{10} (5)

x = 2 lo g_{10} (5)

Alternative Form

x \approx 1.39794

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Frequently Asked Questions

$Solve for x$ of \(10^x=25\)

$x = 2 lo g_{10} (5)$

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