Evaluate \log_{2} 185 to four decimal places. Show algebraic processes.

David Troyer

David Troyer

Answered question

2021-12-29

Evaluate log2185 to four decimal places. Show algebraic processes.

Answer & Explanation

zurilomk4

zurilomk4

Beginner2021-12-30Added 35 answers

Let log2185=x
Formula used: logba=logealogeb
So, here log2185=loge185loge2
x=log2185
x=5.220350.69314=7.5314
Hence log2185=7.5314
vrangett

vrangett

Beginner2021-12-31Added 36 answers

The given logarithmic expression is, log2185.
Compute the value of the given logarithmic expression as follows.
Note that, log2185 can be written as log10185log102 (1)
Now evaluate (1) as follows
log10185log102=2.267171720.30102999
=7.53138157
=7.5314 [Round to four decimal places]
Thus, the exact value of log2185 is 7.5314.
Vasquez

Vasquez

Expert2022-01-08Added 669 answers

log2185=log185log2=log(5×37)log2
=log5+log37log2
=0.6989+1.56820.30103=2.26710.30103
=7.5311

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