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3 years ago

2ln(5x)=8 solve for x

2 answers:

8 0

$lnx=log_ex\\----------\\log_ab=c\iff a^c=b\\----------\\Domain:\\5x > 0\ \ \ |divide\ both\ sides\ by\ 5\\x > 0\\D:x\in\mathbb{R^+}\\----------------------\\2ln(5x)=8\ \ \ \ |divide\ both\ sides\ by\ 2\\\\ln(5x)=4\iff e^4=5x\\\\5x=e^4\ \ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=\frac{e^4}{5}\in D}$

Yakvenalex [24]3 years ago

5 0

2ln(5x)=8

ln(5x) = 4

e^4 = 5x

x = (e^4) / 5

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Let's put more details in the figure to better understand the problem:

Let's first recall the three main trigonometric functions:

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For y, we will be using the Sine Function.

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