To solve this logarithmic equation, we can first combine the two logarithms on the left side using the product rule of logarithms:
log2(4-x) + log2(5) = log2(x-1log2((4-x)*5) = log2(x-1log2(20-5x) = log2(x-1)
Now, remove the logarithms and set the expressions equal to each other:
20 - 5x = x - 1
Combine like terms:
20 + 1 = x + 521 = 6x
Divide by 6:
x = 21/x = 3.5
Therefore, the solution to the logarithmic equation is x = 3.5.
To solve this logarithmic equation, we can first combine the two logarithms on the left side using the product rule of logarithms:
log2(4-x) + log2(5) = log2(x-1
log2((4-x)*5) = log2(x-1
log2(20-5x) = log2(x-1)
Now, remove the logarithms and set the expressions equal to each other:
20 - 5x = x - 1
Combine like terms:
20 + 1 = x + 5
21 = 6x
Divide by 6:
x = 21/
x = 3.5
Therefore, the solution to the logarithmic equation is x = 3.5.