Question

Given log base3 4 = log base 1/27 k , find the value of k .​

Answer 1

k =0.156

Explanation:

According to the Question,

We Have To apply Just some Basic Properties of log here.

`log_(3)4 = log_(1/27)k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_(27) }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\`

0.620/0.4771 = ㏒k / -1.4313

㏒k = -1.86

k = anti㏒(-1.86)

k =0.156