Question

if log xbase3=4,logxbasey=4 theny=​

Answer 1

Answer: y= 3

Step-by-step explanation:

log xbase3=4, and logxbasey=4,

Formula, log m base n= logm/logn

So, log xbase3=4

log x/ log 3=4, logx = 4× log3

Also, logxbasey=4

log x / log y= 4

Putting value of log x = 4× log3, we get

4× log3/ logy= 4, on solving we get,

log you = log 3

So, y= 3

Answer 2

Answer:

y = 3

Note:

★ If log_b(N) = n , then N = aⁿ

★ log(a•b) = loga + logb

★ log(a/b) = loga - logb

★ log(Nⁿ) = n•(logN)

★ log_b(a) = loga / logb

Solution:

Given:

log_3(x) = 4 -------(1)

log_y(x) = 4 --------(2)

To find: y = ?

From eq-(1) and (2) , we have ;

=> log_3(x) = log_y(x)

=> logx / log3 = logx / logy

=> 1/log3 = 1/logy

=> logy = log3

=> y = 3

Hence,

The required value of y is 3 .