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Exercise

$10^{2x+1}=10^x$

Step-by-step Solution

1

If the bases are the same, then the exponents must be equal to each other

$2x+1=x$
2

Move everything to the left hand side of the equation

$2x+1-x=0$
3

Combining like terms $2x$ and $-x$

$x+1=0$
4

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $1$ from both sides of the equation

$x=-1$

Final answer to the exercise

$x=-1$

Try other ways to solve this exercise

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Similar Questions Solved

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$4^c=64$

$e^x=0$

$2^{6x+7}=\left(\frac{1}{8}\right)^{1-5x}$

Main Topic: Exponential Equations

Exponential equations are those where the unknown appears only in the exponents of powers of constant bases.

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