Answers

2014-11-03T21:39:19+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Where there is no base then we consider it with base 10 eg - log₁₀2
3log5 + 6log2 - 2log10
= log 5³ + log 2⁶ - log 10²

log\frac{125*64}{100}
= log 10 x 2³
= 1 + 3log 2     {log 2 = 0.301}
=1.90  ANSWER


0
2014-11-03T22:08:37+05:30
Given 3log5+6log2-2log10
 there is no base so consider it as 10
 3log₁₀5+6log₁₀2-2log₁₀10 = log₁₀5³+log₁₀2⁶-log₁₀10²
                                     = log₁₀390625+log₁₀64/log₁₀10²
                                     =  log₁₀ ( 390625×64)/log₁₀10²
                                     = log₁₀(25000000)/log₁₀100
                                     = log₁₀(25000000/100)
                                     = log₁₀ (250000)
                                     = log₁₀25×10000
                                     = log₁₀25×10⁴
                                     = log₁₀5²+log₁₀10⁴
                                     = 2log₁₀5+4log₁₀10
                                     = 2log₁₀5+4
                                     = 2(log₁₀5+2)
                                     =2(0.699+2)
                                     = 2(2.699)
                                     = 5.398
0