Simplify the following.log103 + log103

log103 + log103 = log10(3×3) = log109(∵ using the product rule,loga(M×N) = (logaM) + (logaN);a,M,N are positive numbers ,a≠1)

Q6 of 124 Page 29

Simplify the following.
log₁₀3 + log₁₀3

log₁₀3 + log₁₀3 = log₁₀(3×3) = log₁₀9

(∵ using the product rule,log_a(M×N) = (log_aM) + (log_aN);a,M,N are positive numbers ,a≠1)

Solve the following equations.

log_x 0.001 = – 3

Solve the following equations.

x + 2 log₂₇ 9 = 0

Simplify the following.

log₂₅35 – log₂₅10

Simplify the following.

log₇21 + log₇77 + log₇88 – log₇121 – log₇24

Questions · 124

2. Scientific notations of real numbers and logarithms

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