\text{Solve for }x of \(\log 25x=3\)

Solve (log 25x=3)

Evaluate

lo g_{10} (25 x) = 3

Find the domain

More Steps

lo g_{10} (25 x) = 3, x > 0

Convert the logarithm into exponential form using the fact that lo g_{a} x = b is equal to x = a^{b}

25 x = 1 0^{3}

Evaluate the power

25 x = 1000

Divide both sides

\frac{25 x}{25} = \frac{1000}{25}

Divide the numbers

x = \frac{1000}{25}

Divide the numbers

More Steps

x = 40

Check if the solution is in the defined range

x = 40, x > 0

Solution

x = 40