The surface area of a square pyramid is 84 square inches. the side length of the base is 6 inches. what is the value of x?

The value of x is 4 in.

Step-by-step explanation:

Since, the surface area of right square pyramid,

Where, a is the base edge of the pyramid,

And, s is the height of each triangular surface,

Here, a = 6 in, s = x in and A = 84 in²,

By substituting these values in the above formula,

Thus, the value of x in the given diagram is 4 inches.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: