Symbiosis National Aptitude Test SNAP 2014 Paper

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Question : 24 of 150

Marks: +1, -0

What is the value of x in the following expression?

x + \log_{10} (1 + 2^x)

=

x \log_{10} 5 + \log_{10} 6

.

1
0
– 1
3

Solution:

x + \log_{10} (1 + 2^x)

=

x \log_{10} 5 + \log_{10} 6

⇒

\log_{10} 10^x+ \log_{10}(1+2^x)

=

\log_{10} 5^x.6

⇒

10^x(1+2^x)

=

5^x.6

⇒

2^x(1+2^x)

= 6

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