The value of `log_(2)32=…………`

The value of log_(25)5=………..

Calculate the value of log_(2)512 .

Find the value of log_(5)125.

log_(32)""1/4=………

Find the value of log_(sqrt2) 256.

(iv) Find the value of log_(2/3)""8/27 .

You know that 2^(1)=2,4^(1)=4,8^(1)=8 and 10^(1)=10. What do you notice about the values of log_(2)2,log_(4)4,log_(8)8 and log_(10)10 ? What can you generalise from this?

We know that, If 7=2^x then x=log_(2)7. Then what is the value of 2^(log_(2)7) ? Justify your answer. Generalise the above by taking some more examples for a^(log_(a)N).

Find the value of log_(5)sqrt(625).

Determine the value of log_(3/5)^(243/3125)