Question

Show your work for the equation gives the exact answer do not approximate :)

Answer 1

x=2.18265833 x=ln(11)/ln(3)

Explanation:

Move all terms not containing x to the right side of the equation. Subtract 7 from both sides.

3x= 11

Take the natural logarithm of both sides of the equation to remove the variable from the exponent. ln(3x)=ln(11)

Expand ln (3x) by moving x outside the logarithm.x ln(3)=ln(11)

Divide each term in xln(3)=ln(11) by ln(3) and simplify.

Simplify the left side.

Cancel the common factor of ln(3).

Answer 2

`log_(3)11`

Explanation:

`3^x=11`

`x=log_(3)11`

Hope this helps :)

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