The equivalent expression of log 200 is 2 + log (2)
How to determine the equivalent expression
The expression is given as:
log 200
Express 200 as 100 * 2
log 200 = log (100 * 2)
Apply the product rule of logarithm
log 200 = log (100) + log (2)
Express 100 as 10^2
log 200 = log (10)^2 + log (2)
Rewrite as:
log 200 = 2log (10) + log (2)
Evaluate log(10)
log 200 = 2 * 1 + log (2)
This gives
log 200 = 2 + log (2)
Hence, the equivalent expression of log 200 is 2 + log (2)
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