Let's solve the exponential equation 2ex = 40.(a) First, we isolate ex to get the equivalent equation .(b) Next, we take ln of each side to get the equivalent equation
Question
Let's solve the exponential equation 2ex = 40.(a) First, we isolate ex to get the equivalent equation .(b) Next, we take ln of each side to get the equivalent equation
Solution
It seems like you've missed out on providing the actual equation. However, I can guide you on how to solve a general exponential equation of the form 2e^x = 40.
(a) First, we isolate e^x by dividing both sides of the equation by 2. This gives us:
e^x = 40 / 2 e^x = 20
(b) Next, we take the natural logarithm (ln) of both sides to get rid of the base e on the left side. This gives us:
ln(e^x) = ln(20)
Using the property of logarithms that ln(a^b) = b*ln(a), we can simplify the left side to:
x = ln(20)
So, the solution to the equation 2e^x = 40 is x = ln(20).
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