help me solve .25^x-0.5=2?

Question

i really need help on this one.

Answer 1

First, you need to get x onto one side by itself, by adding 0.5 to both sides of the equation:

.25^x-0.5 (+0.5) =2 (+0.5)
.25^x = 2.5

Now you need to take the log(base .25) of both sides (log is the inverse of exponent)

x = log(base .25) 2.5 = -0.661

You can verify this by plugging into the original equation on your calculator:

.25^(-0.661) = 2.5

Answer 2

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Answer 3

0.25^x-0.5=2

add 0.5 to both sides

0.25^x- = 2.5

Take the logarithm of both sides

x log 0.25 = log 2.5

x = log 2.5 / log 0.25

x = - 0.66
.