Solve log828x-4=4

Evaluate

lo g_{10} (828 x) - 4 = 4

Find the domain

More Steps

lo g_{10} (828 x) - 4 = 4, x > 0

Move the constant to the right-hand side and change its sign

lo g_{10} (828 x) = 4 + 4

Add the numbers

lo g_{10} (828 x) = 8

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

828 x = 1 0^{8}

Divide both sides

\frac{828 x}{828} = \frac{1 0 ^{8}}{828}

Divide the numbers

x = \frac{1 0 ^{8}}{828}

Divide the numbers

More Steps

x = \frac{64 \times 5 ^{8}}{207}

Check if the solution is in the defined range

x = \frac{64 \times 5 ^{8}}{207}, x > 0

Solution

x = \frac{64 \times 5 ^{8}}{207}

Alternative Form

x \approx 120772.94686

Solve the equation