Solve 10 ^ x = 1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$10^{x}=1$$

Solve for x

$x=0$

Steps Using Definition of Logarithm

Use the rules of exponents and logarithms to solve the equation.

$$10^{x}=1$$

Take the logarithm of both sides of the equation.

$$\log(10^{x})=\log(1)$$

The logarithm of a number raised to a power is the power times the logarithm of the number.

$$x\log(10)=\log(1)$$

Solve for x (complex solution)

$x=2\pi n_{1}i\log(e)$
$n_{1}\in \mathrm{Z}$