Question

Solve each exponential equation. Give the exact value for x.
(a)
6x =
1/36

x =

(b)
3^x = 6

x =

(c)
8^x = 6.5

x =

(d)
4^x = 5

Answer 1

@monicaed1971 do you try your question ?

Answer 2

I am not sure how to do it.

Answer 3

okk...

Answer 4

1)\[\large \bf 6x=\frac{1}{36}\]
divide both sides by 6,we get,
\[\large \bf x=\frac{1}{36 \times 6}=\frac{1}{216}\]

Answer 5

understood ?

Answer 6

yes, thank you very much

Answer 7

How is be done it is a little different and has and exponent of x?

Answer 8

2)
\[\large \bf 3^x=6\]
we can use LOG to solve this problem.

Answer 9

so do you know what is LOG ?

Answer 10

yes, I am familiar with log.

Answer 11

okk

Answer 12

2)
\[\large \bf 3^x=6\]
\[\large \bf \log{3^x}=\log 6\]
we use log to the base 10,
then,
\[\large \bf xlog3=\log6\]
\[\large \bf x=\frac{\log6}{\log3}\]
\[\large \bf where,\log3=0.47712125472 ~and~\log6=0.77815125038\]
plug the values
and get your answer

Answer 13

1.630929753562667