Solve the logarithmic equation: log(2x + 5) + log 3 = log(x + 11) without using tables.

April 4, 2026Mathematics

ScanSolve AI Answer

April 4, 2026

Answer

\log(x + 11)$$

Here are the solutions to your problems:

Solve without using tables: The given equation is: $\log(2x + 5) + \log 3 = \log(x + 11)$ Step 1: Apply the logarithm property $\log A + \log B = \log(AB)$ to the left side. $\log(3(2x + 5)) = \log(x + 11)$ $\log(6x + 15) = \log(x + 11)$ Step 2: Since the logarithms are equal, equate their arguments. $6x + 15 = x + 11$ Step 3

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Quick Answer

3. Solve without using tables: The given equation is: (2x + 5) + 3 = (x + 11) Step 1: Apply the logarithm property A + B = (AB) to the left side.

Asked on April 4, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 4, 2026

Here are the solutions to your problems: 3. Solve without using tables: The given equation is: (2x + 5) + 3 = (x + 11) Step 1: Apply the logarithm property A + B = (AB) to the left side. (3(2x + 5)) = (x + 11) (6x + 15) = (x + 11) Step 2: Since the logarithms are equal, equate their arguments. 6x + 15 = x + 11 Step 3