Solve the following equation: log 10 (x + 2) + log 10 (x - 2) = log 10 3 + 3log 10 4

Given, ⇒ log 10 (x + 2) + log 10 (x - 2) = log 10 3 + 3log 10 4 ⇒ log 10 (x + 2)(x - 2) = log 10 3 + log 10 4 3 ⇒ log 10 (x 2 - 4) = log 10 3 + log 10 64 ⇒ log 10 (x 2 - 4) = log 10 (3 × 64) ⇒ log 10 (x 2 - 4) = log 10 192 ⇒ x 2 - 4 = 192 ⇒ x 2 = 196 ⇒ x = = 14. Hence, x = 14.

Solve the following equation:
log₁₀5 + log₁₀(5x + 1) = log₁₀(x + 5) + 1

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Solve the following equation:
log(4y - 3) = log(2y + 1) - log 3

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Solve the following equation:
log(3x + 2) + log(3x - 2) = 5log 2

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Solve for x: log₃(x + 1) - 1 = 3 + log₃(x - 1)

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Mathematics

Solve the following equation:
log₁₀(x + 2) + log₁₀(x - 2) = log₁₀3 + 3log₁₀4

Logarithms

Related Questions

Solve the following equation:
log₁₀5 + log₁₀(5x + 1) = log₁₀(x + 5) + 1

Solve the following equation:
log(4y - 3) = log(2y + 1) - log 3

Solve the following equation:
log(3x + 2) + log(3x - 2) = 5log 2

Solve for x: log₃(x + 1) - 1 = 3 + log₃(x - 1)

Mathematics

Solve the following equation:log10(x + 2) + log10(x - 2) = log103 + 3log104

Logarithms

Related Questions

Solve the following equation:log105 + log10(5x + 1) = log10(x + 5) + 1

Solve the following equation:log(4y - 3) = log(2y + 1) - log 3

Solve the following equation:log(3x + 2) + log(3x - 2) = 5log 2

Solve for x: log3(x + 1) - 1 = 3 + log3(x - 1)

Solve the following equation:
log₁₀(x + 2) + log₁₀(x - 2) = log₁₀3 + 3log₁₀4

Solve the following equation:
log₁₀5 + log₁₀(5x + 1) = log₁₀(x + 5) + 1

Solve the following equation:
log(4y - 3) = log(2y + 1) - log 3

Solve the following equation:
log(3x + 2) + log(3x - 2) = 5log 2

Solve for x: log₃(x + 1) - 1 = 3 + log₃(x - 1)