Answer:
x = 6
Explanation:
The equation to solve is:
![log_(x)36 = 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p5f6z3is0uxpr99wc1y2j95lan2llyihs4.png)
We can convert it to exponential form and find the answer. Below we show log to exponential form formula:
![log_(x)a=b\\x^b=a](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bc5hnz50khpqn1su2lc3fex2l23aqazdgp.png)
Now, we convert the log to exponential:
![log_(x)36 = 2\\x^2=36](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t97906nyl8g8syv665g9yg340pm3gra9r9.png)
We now solve for "x",
![x^2=36\\x=+-√(36)\\x=6,-6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5j6xhpsbiqznl8y0tz5k0lqkdqyo7grq86.png)
We know the base number of log cannot be negative, so we disregard x = -6 and take x = 6 as our answer