Question

prove that:
log base 4 of 2 into log base 2 of 3 = log base 4 of 5 into log base 5 of 3

Answer 1

Answer:

hgfdfsdujgfjffdfnkhfdyjfr

Answer 2

Step-by-step explanation:

Given: log3 4* log 4 5* log 5 6* log 6 7*

log7 8 * log 8 9

We have to simplify.

we use the following results,

loga b = (log b)/(log a) and log a^ b =blog a

Consider,

log 3 4* log 4 5* log 5 6* log 6 7* log 7 8* log8 9

log 4 log 3 * log 5 log 4 * log 6 log 5 * log 7 log 6 * c * log 8 * log 7 * (log 9)/(log 8)

Rightarrow 1 log 3 * 1 1 * 1 1 * 1 1 * log 3^ 2 1

Rightarrow 1 log 3 *2log 3

Rightarrow2

Therefore, l 3 4* log 4 5* log 5 6* log6 7 > log7 8 <log 8 9=2

<