Question

e^x+5=2

Answer 1

what to find?

Answer 2

solve the exponential equation. Express the solution set in terms of natural logarithms

Answer 3

is the question

1. \[e^{x + 5} = 2\]

or

2.

\[e^x + 5 = 2\]

Answer 4

1

Answer 5

ok... so take the ln of both sides and you have

\[\ln(e^{x + 5}) = \ln 2\]

applying the index law for logs it becomes

\[(x + 5)\ln(e) = \ln(2)\]

and now you need to know...that

\[\log_{a} (a) = 1\]

so applying that law to this question you have

\[(x + 5) \times 1 = \ln(2)\]

now you should be able to solve for x

hope it helps

Answer 6

x=ln2-5????

Answer 7

There exists no x that satisfies the equation.

Answer 8

what the answer then