Hi, I'm trying to learn logarithmic form and I'm kinda of stuck
Write in exponential form:
1.log(3)6561=x
2.x^4 = 625
Thank you
Sure! I can help you with that. To write a logarithmic equation in exponential form, you need to understand the relationship between logarithms and exponentiation.
1. For the equation log(3)6561 = x, you can rewrite it in exponential form as 3^x = 6561.
To find the value of x, you need to determine what value of 3 raised to that exponent equals 6561. In this case, 3^8 = 6561. Therefore, x = 8.
2. For the equation x^4 = 625, you need to rewrite it in exponential form.
To do that, you find the base of the exponent, which is x, and the exponent itself, which is 4. So, x^4 = 625 can be rewritten as x = √625.
To solve for x, you need to determine the square root of 625. The square root of 625 is 25, so x = 25.
Remember, in exponential form, the base represents the number being raised to an exponent, and the exponent represents the power to which the base is raised.