To solve for x in the equation 25^x - 12 = 1/5, we can first rewrite the fraction as a decimal:
25^x - 12 = 0.2
Next, add 12 to both sides of the equation:
25^x = 12.2
Now, we need to take the natural logarithm of both sides to solve for x:
ln(25^x) = ln(12.2)
x * ln(25) = ln(12.2)
x = ln(12.2) / ln(25)
Using a calculator, we can find the approximate value of x to be 0.336.
Therefore, the solution to the equation 25^x - 12 = 1/5 is x = 0.336.
To solve for x in the equation 25^x - 12 = 1/5, we can first rewrite the fraction as a decimal:
25^x - 12 = 0.2
Next, add 12 to both sides of the equation:
25^x = 12.2
Now, we need to take the natural logarithm of both sides to solve for x:
ln(25^x) = ln(12.2)
x * ln(25) = ln(12.2)
x = ln(12.2) / ln(25)
Using a calculator, we can find the approximate value of x to be 0.336.
Therefore, the solution to the equation 25^x - 12 = 1/5 is x = 0.336.