IMAT 2026 · Question 60

Q60 - Logarithms, composite and inverse functions

Which is the solution to the following equation: log₁₀ x = 6? A) 10000 B) 60 C) 1000000 D) 100000 E) 600
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The correct answer is C) 1000000.

A logarithm asks: to what power must the base be raised to get x? So log₁₀ x = 6 means:

x = 10⁶ = 1 000 000

Watch the zeros: 10 000 is 10⁴ and 100 000 is 10⁵. 60 and 600 come from multiplying by 6 instead of raising to the power 6.

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