Solve 10 ^ P = 40 | 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

$$10^{P}=40$$

Solve for P

$P=\log(40)\approx 1.602059991$

Steps Using Definition of Logarithm

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

$$10^{P}=40$$

Take the logarithm of both sides of the equation.

$$\log(10^{P})=\log(40)$$

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

$$P\log(10)=\log(40)$$