Question

Solve for x
𝑥
.
3−53x=18
3
−
5
3
𝑥
=
18
(1 point)

Answer 1

redo it please

Answer 2

To solve the equation

\[
3 - 5 \cdot 3^x = 18,
\]

first, isolate the term involving \( x \):

\[
-5 \cdot 3^x = 18 - 3.
\]

This simplifies to:

\[
-5 \cdot 3^x = 15.
\]

Now, divide both sides by -5:

\[
3^x = -\frac{15}{5} = -3.
\]

Since \( 3^x \) (an exponential function) is always positive for real numbers, there is no real solution to the equation \( 3^x = -3 \).

Thus, the final answer is:

**No real solution.**

Answer 3

Let's solve the equation step by step. The given equation is:

\[
3 - 5 \cdot 3^x = 18.
\]

1. **Isolate the term containing \(3^x\)**:
Subtract 3 from both sides:

\[
-5 \cdot 3^x = 18 - 3 \implies -5 \cdot 3^x = 15.
\]

2. **Divide both sides by -5**:

\[
3^x = -\frac{15}{5} \implies 3^x = -3.
\]

At this point, we see that \(3^x\) (which represents an exponential function) always yields positive values for real \(x\). Therefore, \(3^x = -3\) has **no real solution**.

**Final conclusion**: There is no value of \(x\) that satisfies the equation \(3 - 5 \cdot 3^x = 18\) among real numbers.

If you need help with any other aspect or further clarification, let me know!