Question

Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x​

Answer 1

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra II

• Exponential to Logarithmic:
  `\displaystyle b^m=x \rightarrow log_bx=m`

Explanation:

Step 1: Define

Identify

0.77 = log(x)

Step 2: Solve for x

1. [Equality Property] Raise both sides to the 10th power:
   `\displaysytle 10^(0.77) = 10^(logx)`
2. Simplify:
   `\displaysytle x = 10^(0.77)`
3. Evaluate:
   `\displaysytle x = 5.88844`