Is 1+log x =logex?
Yes, 1 + log x = log ex, if the base of the logarithm is e. If the base of the logarithm is e then the logarithm is known as natural logarithm.
If the base of logarithm is e, then we can write
1 = log e
1 + log x = log e + log x
( According to logarithmic property,
log mn = log m + log n)
1 + log x = log e + log x
= log ex
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