Q6 of 124 Page 29

Simplify the following.

⇒ log₈(16×52) - log₈13

(∵ log_a(M×N) = (log_aM) + (log_aN) and )

⇒

(∵ loga(M ÷ N) = (log_aM) - (log_aN))

⇒ log₈(16×4) = log₈64

⇒ 8x = 64 or x = 2

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

Simplify the following.

log₂₅35 – log₂₅10

Simplify the following.

log₇21 + log₇77 + log₇88 – log₇121 – log₇24

Simplify the following.

5log₁₀2 + 2log₁₀3 - 6log₆₄4

Simplify the following.

log₁₀8 + log₁₀5 - log₁₀4

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