Cambridge University Admission Test: 15ˣ = 45; x =? log(15ˣ) = log45, x = log₁₅45 = log₁₅15 + log₁₅3 = 1 + log₁₅3 Answer check: x = log₁₅45: 15ˣ = 15^log₁₅45 = 45; Confirmed Final answer: x = log₁₅45 = 1 + log₁₅3 = 1.406 The calculation was achieved on a smartphone with a standard calculator app
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×=log45/log15
=(Log 15+log3)/log15
={1+1/(log@3 15)}
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Cambridge University Admission Test: 15ˣ = 45; x =?
log(15ˣ) = log45, x = log₁₅45 = log₁₅15 + log₁₅3 = 1 + log₁₅3
Answer check:
x = log₁₅45: 15ˣ = 15^log₁₅45 = 45; Confirmed
Final answer:
x = log₁₅45 = 1 + log₁₅3 = 1.406
The calculation was achieved on a smartphone with a standard calculator app