Q9 of 124 Page 29

Prove the following equations.

Let us consider the RHS

(∵)

₌ log₅6 - log₅2 + 4

= log₅6 - log₅2 + 4log₅5

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

= log₅1875

Hence LHS = RHS

Prove the following equations.

log₁₀0.16 = 2log₁₀4 – 2

Prove the following equations.

log₅0.00125 = 3 - 5log₅10

Write each of the following in scientific notation:

92.43

Write each of the following in scientific notation:

0.9243

Questions · 124

2. Scientific notations of real numbers and logarithms

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