Simplify the following.log721 + log777 + log788 – log7121 – log724

Q6 of 124 Page 29

Simplify the following.
log₇21 + log₇77 + log₇88 – log₇121 – log₇24

log₇21 + log₇77 + log₇88 - log₇121 - log₇24

⇒

(using the product rule and the quotient rule i.e.

log_a(M×N) = (log_aM) + (log_aN) and

log_a(M ÷ N) = (log_aM) - (log_aN))

⇒

⇒ log₇7²

⇒ 2log₇7 = 2

(∵ log₇7 = 1 )

Simplify the following.

log₁₀3 + log₁₀3

Simplify the following.

log₂₅35 – log₂₅10

Simplify the following.

5log₁₀2 + 2log₁₀3 - 6log₆₄4

Questions · 124

2. Scientific notations of real numbers and logarithms

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