Question

Solve for x
150=50e^7x

Answer 1

a. x=ln(3)-7
b. x=l/e
c. x=ln(3)/7
d. x=ln(150)/79(ln)(50)

Answer 2

I think its c, right?

Answer 3

same process as before

divide both side by 50

then take the logs and use the rule for powers

Answer 4

Okay I divided by 50 and got 3=e^7x
now we have to use ln because e is the base of a natural log.

Answer 5

I get confused when using the laws of powers.

Answer 6

especially with the "e^7x"

Answer 7

you need to recognize

\[\ln(e^{7x}) = 7x\]

when the base of the log and the base of the exponent are the same it becomes 1

to explain

using log laws its

\[e^7x = \ln(e^{7x}) = 7x \times \ln(e) = 7x \times 1\]

Answer 8

The options are
x=ln(3)-7
x=l/e
x=ln(3)/7
x=ln(150)/7(ln(50))

Answer 9

@campbell_st

Answer 10

so then would it be x=ln(3)/7

Answer 11

its would be

Answer 12

okay cool.