solve for x
logx 10 = 1/2
Logx10=1/2. X^1/2=10, Sq. both sides:
X=100.
logx 10 = 1/2
(2/3)x = 6
iii) (x+6)/2 -1 = 0
iv) a2 – 1 = 8
To solve for x in the equation logx 10 = 1/2, we can rewrite it using the logarithmic property:
logx 10 = 1/2
10^(1/2) = x
√10 = x
So, x = √10.
To solve for x in the logarithmic equation logx 10 = 1/2, we need to apply the rules of logarithms. In this case, we have a logarithm with an unknown base (x) and a known value (10).
The first step is to rewrite the equation using the definition of a logarithm. A logarithm states that if b raised to the power of y equals x, then log base b of x is equal to y.
So, we can rewrite the equation as:
x^(1/2) = 10
In exponential form, this equation states that x raised to the power of 1/2 is equal to 10.
To solve for x, we need to get rid of the exponent 1/2. We can do this by raising both sides of the equation to the power of 2:
(x^(1/2))^2 = 10^2
This simplifies to:
x = 100
Therefore, the solution to the equation logx 10 = 1/2 is x = 100.
To verify this solution, you can substitute x = 100 back into the original equation and ensure that log base x of 10 equals 1/2.