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Let x=(0. 15)^(20)dot Find the character...

Let `x=(0. 15)^(20)dot` Find the characteristic and mantissa of the logarithm of `x` to the base 10. Assume `(log)_(10)2=0. 301a n d(log)_(10)3=0. 477.`

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`x=(0.15)^20`
taking log both side
`logx=log(0.15)^20`
`logx=10log(0.15)`
`20log(15/100)=20[log15-2]`
`20[log5+log3-2]`
`20[log(10/2)+log3-2]`
`20[log10-log2+log3-2]`
...
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