Question

Use the solving exponential equations calculator with steps to solve:

ᵉ²ˣ= 10

Answer 1

To solve the equation ᵉ²ˣ = 10, you can take the natural logarithm of both sides of the equation and solve for x.

Step-by-step explanation:

To solve the equation 겈ˣ = 10, we need to isolate the exponential term. To do this, we can take the logarithm of both sides of the equation. Since the base of the exponential term is e, we can use the natural logarithm (ln) to simplify the equation. To solve the exponential equation e^(2x) = 10, we need to rewrite this equation in order to isolate the variable x. One way to do this is by using logarithms. Since our base is e (Euler's number), we will use the natural logarithm, often denoted as ln.

ln(겈ˣ) = ln(10)

2x ln(e) = ln(10)

2x = ln(10)

x = ln(10)/2

So the solution to the equation is x = ln(10)/2.