Question

If-
log, a
log 4 a
log, a
logie a
- n(n+1), then k.loga2 is equal
log, a
k
"
​

Answer 1

Answer:

Step-by-step explanation:

To express the value of log 14.4 in terms of ‘a' and ‘b' lets split 14.4 by writing it as the product of it's factors.

log 14.4= log (2×2×2×2×3×3×0.1)

log 14.4= log ((2 ^4) × (3^2) × 0.1)

log 14.4= log (2^4) + log (3^2) + log 0.1

This is done by considering common properties of logarithm _______________________ log (m×n) = log m+ log n

log 14.4= 4log 2 + 2log 3 + log 0.1

This by proberty___ log (m^n)= n log m

log 14.4= 4× a + 2 ×b + log 0.1

log 14.4= 4a + 2b -1

log 0.1= -1 ——- you'll get this by log table or even scientific calculator.

.°. log 14.4= 4a + 2b - 1