Find x if log 10 (x - 17) + 4 log 102 = log10 (3x + 14).
11
44
33
22
Answers
Answered by
4
Answer:
22
Step-by-step explanation:
log 10 (x-17) + 4log 10 (2) = log 10 (3x+14)
Using , n log a (m) = log a (m^n)
log 10 (x-17) + log 10 (2^4) = log 10 (3x+14)
log a (m) + log a (n) = log a (mn) , Using this we get
log 10 (x-17)*2^4 = log 10 (3x+14)
16(x-17) = 3x+14
16x - 272 = 3x+14
16x - 3x = 14 + 272
13x = 286
x = 286/13 = 22 .
I hope it will be helpful to you .
Similar questions