What is the answer to: 2 to the x power=7?

Answer 1

2^x = 7

x = log base 2 of 7

x = log (7) / log (2)

x = 2.807354922...

Answer 2

2*x = 7
Take natural log of each side getting:
ln2^x = ln 7
xln2 = ln 7 [ Prroperty of logarithms]
x =(ln 2)/(ln 7)
The above is an exact answer. Yiu can get an approximate answer using your calculator or using a table of natural logs.

Answer 3

To do this problem you need to know logs. No the mathematical logarithms, not dead trees.

First convert the eqn to log form:

2^x = 7 >>> log_2 (7) = x

Now just enter this into a calc (log 7)/(log 2) and you should get approx. 2.8074

Answer 4

To find x, take the log of both sides.
log(2^x) = log 7

Then pull the x from the exponent and put it in front of the log:
xlog2 = log7

Divide by log2: x = log7/log2

Voila!

Answer 5

2^x=7 take ln of both sides
x ln 2=ln 7 divide by ln 2
x=ln 7 / ln 2=2.807

Answer 6

If you take the natural log of both sides you get:
ln(2^x)=ln7

You can then pull the x out to get:
xln(2)=ln7

So x=ln7/ln2=2.807

Answer 7

2x2x2x2x2x2x2 =128