Solve the equation in each of the following.log4(x + 4) + log48 = 2

log4(x + 4) + log48 = 2⇒ log4((x + 4)×8) = 2⇒ log4(8x + 32) = 2⇒ 8x + 32 = 42⇒ 8x + 32 = 16⇒ 8x = 16 - 32 = - 16⇒ 8x = - 16⇒ x = - 2

Q7 of 124 Page 29

Solve the equation in each of the following.
log₄(x + 4) + log₄8 = 2

log₄(x + 4) + log₄8 = 2

⇒ log₄((x + 4)×8) = 2

⇒ log₄(8x + 32) = 2

⇒ 8x + 32 = 4²

⇒ 8x + 32 = 16

⇒ 8x = 16 - 32 = - 16

⇒ 8x = - 16

⇒ x = - 2

Simplify the following.

5log₁₀2 + 2log₁₀3 - 6log₆₄4

Simplify the following.

log₁₀8 + log₁₀5 - log₁₀4

Solve the equation in each of the following.

log₆(x + 4) - log₆(x - 1) = 2

Solve the equation in each of the following.

Questions · 124

2. Scientific notations of real numbers and logarithms

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