solve the equation.\n10^x + 5 = 60\nx = ?

Explanation:

Step1: Isolate the exponential term

Subtract 5 from both sides of the equation. $10^{x}+5 - 5=60 - 5$ $10^{x}=55$

Step2: Take the common - logarithm of both sides

Since the base of the exponential is 10, taking the common - logarithm (base 10 logarithm) of both sides. $\log(10^{x})=\log(55)$ Using the property $\log(a^{b})=b\log(a)$ and $\log(10) = 1$, we get $x=\log(55)$. Using a calculator, $x\approx1.7404$

Answer:

$x\approx1.7404$