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Ycdi
12.02.2020 •
Mathematics
Which logarithmic equation is equivalent to the exponential equation below?
e5x = 6
A. ln 5x = 6
B. ln 6 = 5x
C. log 5x = 6
D. log 6 = 5x
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Ответ:
Option B:
is the correct answer.
Explanation:
The exponential equation is![e^{5 x}=6](/tpl/images/0508/5903/b8813.png)
If
, then ![\ln (f(x))=\ln (g(x))](/tpl/images/0508/5903/7a11b.png)
Thus, the equation becomes
Applying log rule,
and thus the equation becomes
Since, we know that,
, using this we get,
Hence, the logarithmic equation which is equivalent to the exponential equation
is ![\ln 6=5 x](/tpl/images/0508/5903/ed02e.png)
Thus, Option B is the correct answer.
Ответ: