log(4x+10)=3 simplify?
Assuming log() is to the base 10, then
log(4x+10)=3
raise to power of 10 on both sides:
10^log(4x+10)=10^3
4x+10 = 1000
x = 990/4
To simplify the logarithmic expression log(4x+10) = 3, we need to remove the logarithm and solve for x.
First, we can rewrite the equation using exponential notation. The logarithmic equation log(base b)(x) = y is equivalent to b^y = x. Applying this, we have:
10^(log(4x+10)) = 10^3
Next, we can simplify the equation to:
4x + 10 = 1000
Now, we can solve for x by isolating the variable:
4x = 990
Dividing both sides of the equation by 4:
x = 990/4
x = 247.5
Therefore, the simplified solution to the equation log(4x+10) = 3 is x = 247.5.
To simplify the equation log(4x+10) = 3, we need to first eliminate the logarithm. We can do this by applying exponentiation to both sides of the equation.
Exponentiating both sides with base 10, we get:
10^(log(4x+10)) = 10^3
Now, according to the logarithmic identity, 10^(log(x)) = x, we can simplify the left side of the equation:
4x+10 = 1000
Finally, we can isolate x:
4x = 1000 - 10
4x = 990
Dividing both sides by 4, we get:
x = 990/4
x = 247.5
Therefore, the simplified solution to the equation log(4x+10) = 3 is x = 247.5.