o 99 04 954 PM 1 imathasrationalreasoningnet oo TMobile Ques

o 99% 0,4 9:54 PM 1 imathas.rationalreasoning.net oo T-Mobile Question with last attempt is displayed for your review only Determine the value of the unknown in each of the following equations. a. 7(logs(3125)) = y = | 15289.97 Preview b, log14(1) = z | 1.146 (# Preview g27(#) C. lo «Preview d, log, (11V11) 1.5 *Preview Post this question to forum

Solution

a. 7(log₅3125)

   =7 log₅5⁵= 7*5 log₅5=35

b.log₁₄1=z

    z=0

c.log₂₇3^k =k log₂₇3= k(log 3/log 27) = k (log 3)/(3 log 3)= k/3

Therefore k/3=1

k=3

d.log_b11 sqrt11 = 1.5

   log _b11^3/2=1.5

(3/2) log_b11=1.5

log_b11=1

11=b