solve for x from (0.008)^x=1/25 i'm confuse help me
Sure! I can help you solve the equation (0.008)^x = 1/25. To start, let's rewrite 1/25 as a decimal.
1/25 is equivalent to 0.04.
So now we have the equation (0.008)^x = 0.04.
To solve for x, we can take the logarithm of both sides of the equation.
The most common logarithm used is the natural logarithm (ln), but any base can be used.
ln((0.008)^x) = ln(0.04).
Using the logarithm rule: ln(a^b) = b * ln(a), we can simplify further.
x * ln(0.008) = ln(0.04).
Now we can isolate x by dividing both sides by ln(0.008).
x = ln(0.04) / ln(0.008).
Using a calculator, you can find the values of ln(0.04) and ln(0.008), then divide them to get the final value of x.