Question

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

Answer 1

Answer:

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra II

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

Step-by-step 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:                                                                                                           $\displaysytle x = 5.88844$