Solve the equation in each of the following.log4(8log2x) = 2

log4(8log2x) = 2⇒ 8log2x = 42(∵ ax = b is the exponential form of logarithmic form of logab)⇒ log2x8 = 16(∵ logaMn = nlogaM)⇒ 216 = x8⇒ (22)8 = x8⇒ x = 22 = 4

Q7 of 124 Page 29

Solve the equation in each of the following.
log₄(8log₂x) = 2

log₄(8log₂x) = 2

⇒ 8log₂x = 4²

(∵ a^x = b is the exponential form of logarithmic form of log_ab)

⇒ log₂x⁸ = 16

(∵ log_aMⁿ = nlog_aM)

⇒ 2¹⁶ = x⁸

⇒ (2²)⁸ = x⁸

⇒ x = 2² = 4

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Solve the equation in each of the following.

log₆(x + 4) - log₆(x - 1) = 2

Solve the equation in each of the following.

log₁₀5 + log₁₀(5x + 1) = log₁₀(x + 5) + 1

Solve the equation in each of the following.

4log₂x - log₂5 = log₂125

Questions · 124

2. Scientific notations of real numbers and logarithms

1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10

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Solve the equation in each of the following.
log₄(8log₂x) = 2

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