How do you solve $-7 + ln 2x =4$ ?

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Answer 1 · 2016-02-23T22:24:08

$x=1/2*e^11$

from the given $-7+ln 2x=4$
transpose -7 to the right of the equation

$ln 2x=4+7$

simplify

$ln 2x=11$

this is also

$ln_e 2x=11$

convert to exponential form

$e^11=2x$

divide both sides of the equation by 2

$x=1/2*e^11$

Do the checking at $x=1/2*e^11$ using the original equation

$-7+ln 2x=4$
$-7+ln 2(1/2*e^11)=4$
$-7+ln e^11=4$
$-7+11=4$
$4=4$ correct !!!

God bless you ...

How do you solve -7 + ln 2x =4-7 + ln 2x =4?