Question

Without using your calculator, decide which of these is larger: log8 62 or log7 50. How confident are you of your answer? Explain your thinking.

Answer 1

Explanation:

log8 62 = x1

8^x1= 62

8^2 =64 >62 so x1<2

log7 50=x2

7^x2=50

7^2=49<50 so x2>2

we have, x1<2 and 2<x2

x1<2<x2

x1<x2

log8 62<log7 50