To solve this equation, we can combine the logarithms on the left side using the properties of logarithms.
log2(5x-7) - log2(5) = log2(21)log2((5x-7)/5) = log2(21)
Now, since the bases of the logarithms are the same, we can drop the logs and set the expressions inside the parentheses equal to each other:
(5x-7)/5 = 21
Now, we can solve for x:
5x - 7 = 1055x = 112x = 112/5x = 22.4
Therefore, the solution to the equation is x = 22.4.
To solve this equation, we can combine the logarithms on the left side using the properties of logarithms.
log2(5x-7) - log2(5) = log2(21)
log2((5x-7)/5) = log2(21)
Now, since the bases of the logarithms are the same, we can drop the logs and set the expressions inside the parentheses equal to each other:
(5x-7)/5 = 21
Now, we can solve for x:
5x - 7 = 105
5x = 112
x = 112/5
x = 22.4
Therefore, the solution to the equation is x = 22.4.