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Simplify: [tex]10^{\log (3.5)}[/tex]

A. 2.857
B. 0.544
C. 35
D. 3.5


Sagot :

To simplify the expression [tex]\( 10^{\log (3.5)} \)[/tex], we can make use of the properties of logarithms and exponentials. One fundamental property states that:

[tex]\[ 10^{\log_{10} (x)} = x \][/tex]

Here, the base of the logarithm in the expression is 10, which matches the base of the exponential term.

Given this property:
[tex]\[ 10^{\log_{10} (3.5)} = 3.5 \][/tex]

Therefore, the simplified result of the expression [tex]\( 10^{\log (3.5)} \)[/tex] is:

[tex]\[ \boxed{3.5} \][/tex]