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Solve the following equation using exponential and logarithmic functions : 2log(a)=12

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Answer:

2log(a) = 12 is a = 10^6.

Explanation:

To solve the equation 2log(a) = 12, we can use the properties of logarithms and exponential functions.

Step 1: Rewrite the equation using the property of logarithms.

log(a^2) = 12

Step 2: Convert the equation into exponential form.

a^2 = 10^12

Step 3: Solve for 'a' by taking the square root of both sides.

a = sqrt(10^12)

Step 4: Simplify the expression.

a = 10^6

Therefore, the solution to the equation To solve the equation 2log(a) = 12, we can use the properties of logarithms and exponential functions.

Step 1: Rewrite the equation using the property of logarithms.

log(a^2) = 12

Step 2: Convert the equation into exponential form.

a^2 = 10^12

Step 3: Solve for 'a' by taking the square root of both sides.

a = sqrt(10^12)

Step 4: Simplify the expression.

a = 10^6

Therefore, the solution to the equation 2log(a) = 12 is a = 10^6.

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