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Simplify log101.5 + 3 log102 − log100.3

Simplify log₁₀1.5 + 3 log₁₀2 − log₁₀0.3

A.
log₁₀4
B.
log₁₀40
C.
log₁₀-40
D.
log₁₀4^–

Correct Answer: Option B

Explanation

log₁₀1.5 + 3 log₁₀2 − log₁₀0.3
log₁₀1.5 + log₁₀23 − log₁₀0.3
[log₁₀(1.5 × 23) ÷ log₁₀0.3]
[log₁₀(15/10 × 8 ) ÷ log₁₀( 3/10)]
log₁₀(15/10 × 8 × 10/3 )
log₁₀40

There is an explanation video available below.

Explanation Video