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Chapter 10: Q. 10.47 (page 1030)

Solve:

a)loga121=2b)lnx=7

Short Answer

Expert verified

Part (a) The value of ais11.

Part (b) The value ofxise7.

Step by step solution

01

Step 1. Given information.

The given expressions are,

a)loga121=2b)lnx=7

02

Step 2. Solving part (a).

Here, we will convert the given expression to the exponential form and solve the quadratic equation.

loga121=2a2=121a=11,-11

The base of a logarithmic function cannot be negative hence the value of ais 11.

Checking the result.

loga121=2log11121=2112=121121=121

Therefore, this is true.

03

Step 3. Solving part (b).

Now, we will convert the given expression to exponential form and simplify.

lnx=7e7=x

Checking the result.

lnx=7lne7=7e7=e7

Therefore, this is true.

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