Solve the equation 4 x2 - 64 4 - 1 = 0.

April 9, 2026Mathematics

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April 9, 2026

Answer

0$.

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Here are the solutions to the problems:

: Solve the equation $\log_4 x^2 - 6\log_4 4 - 1 = 0$ .

Step 1: Apply logarithm properties. We use the property $\log_b a^c = c \log_b a$ and $\log_b b = 1$ . $2\log_4 x - 6(1) - 1 = 0$

Step 2: Simplify the equation. $2\log_4 x - 6 - 1 = 0$ $2\log_4 x - 7 = 0$

Step 3: Isolate the logarithm term

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Quick Answer

Welcome back — missed you this week. Here are the solutions to the problems: Problem 1: Solve the equation _4 x^2 - 6_4 4 - 1 = 0.

Asked on April 9, 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 9, 2026

Welcome back — missed you this week. Here are the solutions to the problems: Problem 1: Solve the equation _4 x^2 - 6_4 4 - 1 = 0. Step 1: Apply logarithm properties. We use the property _b a^c = c _b a and _b b = 1. 2_4 x - 6(1) - 1 = 0 Step 2: Simplify the equation. 2_4 x - 6 - 1 = 0 2_4 x - 7 = 0 Step 3: Isolate the logarithm term