How can this equation be rewritten in exponential form?

[tex]\[ \log 2 = x \][/tex]

Drag the tiles to the correct locations in the equation. Not all tiles will be used.

1. [tex]\( x \)[/tex]
2. 10
3. 2
4. [tex]\( e \)[/tex]



Answer :

To rewrite the equation [tex]\(\log 2 = x\)[/tex] in exponential form, we need to understand the relationship between logarithms and exponents. Specifically, we need to recognize that a logarithm represents the exponent to which the base must be raised to obtain a particular number.

Given the logarithmic equation:
[tex]\[ \log 2 = x \][/tex]

This equation tells us that [tex]\(x\)[/tex] is the exponent to which the base (10) must be raised to get 2. So, the equivalent exponential form is:

[tex]\[ 10^x = 2 \][/tex]

Thus, the tiles should be placed as follows:

[tex]\[ 10^x = 2 \][/tex]

This properly converts the logarithmic equation into its exponential form.