Simplify the following.log108 + log105 - log104

log108 + log105 - log104⇒ log10(8×5) - log104(∵ loga(M×N) = (logaM) + (logaN))⇒ (∵ loga(M ÷ N) = (logaM) - (logaN))⇒ log10(2×5) = log1010 = 1(∵ logaa = 1)

Q6 of 124 Page 29

Simplify the following.
log₁₀8 + log₁₀5 - log₁₀4

log₁₀8 + log₁₀5 - log₁₀4

⇒ log₁₀(8×5) - log₁₀4

(∵ log_a(M×N) = (log_aM) + (log_aN))

⇒

(∵ log_a(M ÷ N) = (log_aM) - (log_aN))

⇒ log10(2×5) = log1010 = 1

(∵ log_aa = 1)

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Simplify the following.

5log₁₀2 + 2log₁₀3 - 6log₆₄4

Solve the equation in each of the following.

log₄(x + 4) + log₄8 = 2

Solve the equation in each of the following.

log₆(x + 4) - log₆(x - 1) = 2

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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Simplify the following.
log₁₀8 + log₁₀5 - log₁₀4

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