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Question

The number of solutions of log3(x3)=4x is


Your Answer
A
0
Correct Answer
B
1
Your Answer
C
2
Your Answer
D
infinite

Solution

Given:

log3(x3)=4x
x3=34x
Let y=x3
y=343x

Lets draw the graphs of y=x3 and  logx.

Clearly, from the graph,

The line y=x3 and logx intersect at only one point (4,1).

So there exist only one solution.

Hence, Option B is correct.

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