Ln<span>(5x)</span>=4<span><span>ln</span><span>(5x)</span>=4</span>
To solve for <span>xx</span>
, rewrite the equation using properties of logarithms.<span><span><span>e<span>ln<span>(<span>5x</span>)</span></span></span>=<span>e4</span></span><span><span>e<span>l</span></span></span></span>
Solve for <span>x</span>
Tap for more steps...Exponentiation and log are inverse functions.<span><span><span>5x</span>=<span>e4
</span></span></span>Divide each term by <span>5</span>
and simplify.Tap for more steps...Divide each term in <span><span><span>5x</span>=<span>e4</span></span><span><span>5x</span>=<span>e4</span></span></span>
by <span>5</span>
.Reduce the expression by cancelling the common factors.
Cancel the common factor.<span><span><span><span>5x</span>5</span>=<span><span>e4</span>5
</span></span></span>Divide <span>x</span>
by <span>1</span>
to get <span>x</span>
.<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span>
Verify each of the solutions by substituting them back into the original equation <span><span><span>ln<span>(<span>5x</span>)</span></span>=4 </span></span>
and solving. In this case, all solutions were found to be valid.<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span>
The result can be shown in both exact and decimal forms.Exact Form:<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span>
Decimal Form:<span>x=<span>10.91963000<span>…</span></span></span>
I think it’s Step 2 your welcome
Answer:
x =(-4-√96)/10=(-2-2√ 6 )/5= -1.380
x =(-4+√96)/10=(-2+2√ 6 )/5= 0.580
Step-by-step explanation:
2)
25^2 - 24^2
= 625 - 576
= 49
√49 = 7
answer
missing side length = 7 ft
3)
12^2 + 6^2
= 144 + 36
= 180
= 30√2
answer
missing side length = 30√2 in