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JAMB 1985 · UME · Q10

Find xx if log⁡9x=1.5\log_9 x = 1.5.

Worked solution (try it first)
  1. Change to index form: x=91.5x = 9^{1.5}.
  2. 91.5=9329^{1.5} = 9^{\frac32}, which is the square root of 9, cubed: 33=273^3 = 27.
  3. So x=27.0x = 27.0, option B.

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