Please solve for x ?

Question

6=2^x

Answer 1

Use natural logs

ln(6) = x*ln(2)

Now get out your calculator..

x = ln(6)/ln(2) = 2.58

Answer 2

log(base2)6=x

which means that log(base10)6 divided by log(base10)2=x

-----fyi: log(base10) is commonly referred to as ln. this is what you will refer to it as on your calculator. so basically this is ln6/ln2=x-----

plug that into a calculator and you get:

1.79/.693

which comes out to about:

2.58

you can then double check this by plugging 2.58 in for x, which comes to 5.98... so given the rounding we did, it makes sense.

Answer 3

you can do it this easy way.

Use natural logs

ln(6) = x*ln(2)

Now get out your calculator..

x = ln(6)/ln(2) = 2.58

this is the easiest way to slove for 6=2^x