a. Find the possible value for x in the equation 3x = 7 (mod 2) b. Simplify: log3 27 + log3 9 c. If log5 x = 3 and log5 y = 2, find the value of log5 (x / y)

September 1, 2026Mathematics

ScanSolve AI Answer

September 1, 2026

Answer

Here's how to simplify the expression:

Step 1: Recognize that $27$ and $9$ can be expressed as powers of $3$ . $27 = 3^3$ $9 = 3^2$

Step 2: Substitute these values into the logarithmic expression. $\log_3 27 + \log_3 9 = \log_3 (3^3) + \log_3 (3^2)$

Step 3: Apply the logarithm property $\log_b (b^k) = k$ . $\log_3 (3^3) + \log_3 (3^2) = 3 + 2$

Step 4: Perform the addition. $3 + 2 = 5$

The simplified expression is: $\boxed{5}$

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Quick Answer

Here's how to simplify the expression: Step 1: Recognize that 27 and 9 can be expressed as powers of 3.

Asked on September 1, 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 September 1, 2026

Here's how to simplify the expression: Step 1: Recognize that 27 and 9 can be expressed as powers of 3. 27 = 3^3 9 = 3^2 Step 2: Substitute these values into the logarithmic expression. _3 27 + _3 9 = _3 (3^3) + _3 (3^2) Step 3: Apply the logarithm property _b (b^k) = k. _3 (3^3) + _3 (3^2) = 3 + 2 Step 4: Perform the addition. 3 + 2 = 5 The simplified expression is: 5 Send me the next one 📸