Answer :
We start with the equation:
[tex]$$
2(10)^x = 20000.
$$[/tex]
Step 1: Divide both sides by 2
Divide both sides by 2 to isolate the exponential term:
[tex]$$
10^x = \frac{20000}{2} = 10000.
$$[/tex]
Step 2: Express 10000 as a power of 10
Notice that:
[tex]$$
10000 = 10^4.
$$[/tex]
So now the equation becomes:
[tex]$$
10^x = 10^4.
$$[/tex]
Step 3: Equate the exponents
Since the bases are equal, we can equate the exponents:
[tex]$$
x = 4.
$$[/tex]
Thus, the solution is:
[tex]$$
x = 4.
$$[/tex]
[tex]$$
2(10)^x = 20000.
$$[/tex]
Step 1: Divide both sides by 2
Divide both sides by 2 to isolate the exponential term:
[tex]$$
10^x = \frac{20000}{2} = 10000.
$$[/tex]
Step 2: Express 10000 as a power of 10
Notice that:
[tex]$$
10000 = 10^4.
$$[/tex]
So now the equation becomes:
[tex]$$
10^x = 10^4.
$$[/tex]
Step 3: Equate the exponents
Since the bases are equal, we can equate the exponents:
[tex]$$
x = 4.
$$[/tex]
Thus, the solution is:
[tex]$$
x = 4.
$$[/tex]
