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Chapter 10: Q. 10.49 (page 1031)

Solve:

a)log25x-1=6b)lne3x=6

Short Answer

Expert verified

Part (a) The value of xis 13.

Part (b) The value ofxis2.

Step by step solution

01

Step 1. Given information.

The given expressions are,

a)log25x-1=6b)lne3x=6

02

Step 2. Solving part (a).

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

log25x-1=65x-1=265x-1=645x=65x=13

Checking the result.

log25(13)-1=65(13)-1=2665-1=6464=64

Therefore, this is true.

03

Step 3. Solving part (b).

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

lne3x=6e6=e3x3x=6x=2

Checking the result.

lne3(2)=6e6=e3(2)e6=e6

Therefore, this is true.

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