In the following questions determine the value of the unknow

In the following questions, determine the value of the unknown quantity. a. 9^7z = 268 2 = 1/7log_9 (268) 1/7 log_9 (268) = 0.3635096903729227 b. log_6 (174) = - 7t -1/7 log_6^174 = undefined, syntax incomplete. c. 4^n + 2 = 261 log_4^261/16 = undefined, syntax incomplete.

Solution

b) log6(174) = -7t

t = -1/7log6(174)

t = log6(174)^-1/7

= log6(1/174)^7

c) 4^(n+2) = 261

Take log on both sides:

(n+2)log4 = log261

nlog4 = log261 - 2log4

n = ( log261 - 2log4)/log4

= log261/log4 - 2

n = log4(261) -2