Question

Solve the exponential equation. Express the solution set in terms of natural logarithms.
83x = 2.2

Answer 1

FKKJWKEJI44 Please use proper notation it only takes a second and makes it easier for everyone trying to help you it is common curtesy

Answer 2

*courtesy

Answer 3

I will help you if you type it out using proper notation

Answer 4

Solve the exponential equation. Express the solution set in terms of natural logarithms.
8^3x = 2.2

Answer 5

thanks :)

Answer 6

welcome :)

Answer 7

take the log of both sides of the equation
remember
log_u(x) = u^(y)
is the same as
u^(y) = x

thus if log_8(8) = 8^(y)
so
8^(1) = 8
thus log_8(8) = 1


so take log_(8) on both sides of the equation

log_8(8^(3x)) = log_8(2.2)
3xlog_8(8) = log_8(2.2)
=
3x(1) = log_8(2.2)
x = log_8(2.2)/3

Answer 8

if you have any questions ask

Answer 9

Remember that I simply used the rule

log(x^(y)) = ylog(x)

Answer 10

to bring down the exponent

Answer 11

okay thanks

Answer 12

if you dont care for an explanation you can use https://www.wolframalpha.com to find the answer