Basic Math Examples

$10^{y + 1} + 87 = 1503$

Step 1

Move all terms not containing $y$ to the right side of the equation.

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Step 1.1

Subtract $87$ from both sides of the equation.

$10^{y + 1} = 1503 - 87$

Step 1.2

Subtract $87$ from $1503$ .

$10^{y + 1} = 1416$

Step 2

Take the base $10$ logarithm of both sides of the equation to remove the variable from the exponent.

$\log (10^{y + 1}) = \log (1416)$

Step 3

Expand the left side.

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Step 3.1

Expand $\log (10^{y + 1})$ by moving $y + 1$ outside the logarithm.

$(y + 1) \log (10) = \log (1416)$

Step 3.2

Logarithm base $10$ of $10$ is $1$ .

$(y + 1) \cdot 1 = \log (1416)$

Step 3.3

Multiply $y + 1$ by $1$ .

$y + 1 = \log (1416)$

Step 4

Subtract $1$ from both sides of the equation.

$y = \log (1416) - 1$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = \log (1416) - 1$

Decimal Form:

$y = 2.15106325 \dots$