What is the solution to log Subscript 2 Baseline (9 x) minus log Subscript 2 Baseline 3 = 3

The value of x is  

 Explanation:

The expression is    

Adding   to both sides of the equation,  we get,

Using log definition, if    then   , we have,

Using exponent rule, ,

Simplifying, we have,

Dividing both sides by 9, we have,

Simplifying,

Thus, the value of x is

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

7

step-by-step explanation: