Question

You will need to convert from exponential form to logarithm form. So first, divide both sides by four to get:

 

0.25^x = 1.875

 

Now you can convert to logarithm. The base (0.25) will become the base of the logarithm, the 1.875 will move to the side of the equation with the log, and the x will be by itself on the other side of the equals sign:

 

log_0.25 1.875 = x

 

Now you need to convert the logarithm to base 10 so you can input it into the calculator. You can use this equation to convert it:

 

log_b y = log_a y/log_a b

 

b = the base of the original logarithm (in this case 0.25)

a = the base we want to convert to (in this case 10)

y = the number in front of the original logarithm (in this case 1.875)

 

log_0.25 1.875 = log₁₀ 1.875 / log₁₀ 0.25

 

Since log_0.25 1.875 = x we can substitute it for x to get:

 

x = log₁₀ 1.875 / log₁₀ 0.25

 

Now just plug those into the calculator to find x.