Solve for x: log2(3x+3) = log2(64)

June 22, 2026Mathematics

ScanSolve AI Answer

June 22, 2026

Answer

$\frac{61}{3}$

Ili kutatua mlinganyo wa logariti, tutatumia kanuni za logariti.

Step 1: Tumia kanuni ya logariti inayosema kwamba ikiwa $\log_b M = \log_b N$ , basi $M = N$ . $\log_2 (3x+3) = \log_2 64$ Hii inamaanisha kuwa hoja za logariti lazima ziwe sawa. $3x+3 = 64$

Step 2: Ondoa 3 kutoka pande zote mbili za mlinganyo. $3x = 64 - 3$ $3x = 61$

Step 3: Gawanya pande zote mbili kwa 3 ili kupata thamani ya $x$ . $x = \frac{61}{3}$

The final answer is $\boxed{\frac{61}{3}}$ .

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Quick Answer

Ili kutatua mlinganyo wa logariti, tutatumia kanuni za logariti. Step 1: Tumia kanuni ya logariti inayosema kwamba ikiwa _b M = _b N, basi M = N.

Asked on June 22, 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 June 22, 2026

Ili kutatua mlinganyo wa logariti, tutatumia kanuni za logariti. Step 1: Tumia kanuni ya logariti inayosema kwamba ikiwa _b M = _b N, basi M = N. _2 (3x+3) = _2 64 Hii inamaanisha kuwa hoja za logariti lazima ziwe sawa. 3x+3 = 64 Step 2: Ondoa 3 kutoka pande zote mbili za mlinganyo. 3x = 64 - 3 3x = 61 Step 3: Gawanya pande zote mbili kwa 3 ili kupata thamani ya x. x = (61)/(3) The final answer is (61)/(3). That's 2 down. 3 left today — send the next one.