Determine if Linear y=4*4^x

$y = 4 \cdot 4^{x}$

Step 1

Multiply $4$ by $4^{x}$ .

Raise $4$ to the power of $1$ .

$y = 4^{1} \cdot 4^{x}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = 4^{1 + x}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of the variable in the equation violates the linear equation definition, which means that the equation is not a linear equation.

Not Linear

Determine if Linear y=4*4^x

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