rewrite each in exponential expression as a logarithmic expression
a)log,x=4
b)log 5=2
c)log ,8=x
I am assuming you mean log _10 x = 4 in the equation.
For this, log _x y = z, x^z = y
So, x = 10^4 = 10,000 (a)
(b) log _x 5 = 2, x^2 = 5, x = sqrt 5
(c) i guess you meant log 10_ 8 = x so 10^x = 8
plug this into calculator, "log 8" to get 0.903089987 etc...
good luck
To rewrite each exponential expression as a logarithmic expression, we need to understand how logarithms and exponents are related.
a) For the expression log x = 4, we can rewrite it using logarithmic notation as:
x = 10^4
Explanation: In this case, the base is 10 (since it's a common logarithm) and the exponent is 4. To get the base and the exponent, we simply convert the logarithmic notation to exponential notation.
b) For the expression log 5 = 2, we can rewrite it using logarithmic notation as:
5 = 10^2
Explanation: Similar to the previous example, the base here is 10 (since it's a common logarithm) and the exponent is 2.
c) For the expression log 8 = x, we can rewrite it using logarithmic notation as:
8 = 10^x
Explanation: Again, the base is 10 (since it's a common logarithm) and the exponent is represented by x.
By converting the logarithmic expressions to exponential form, we can easily understand and represent them.