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Illusion [34]
3 years ago
5

Y=3^x+1 Find the range

Mathematics
1 answer:
anygoal [31]3 years ago
3 0
1 Subtract <span>11</span> from both sides
<span>y-1={3}^{x}<span>y−1=<span>3<span><span>​x</span><span>​​</span></span></span></span></span>
2 Use Definition of Common Logarithm: <span>{b}^{a}=x<span><span>b<span><span>​a</span><span>​​</span></span></span>=x</span></span> if and only if <span>log_b(x)=a<span>lo<span>g<span><span>​b</span><span>​​</span></span></span>(x)=a</span></span>
<span>\log_{3}{(y-1)}=x<span><span><span>log</span><span><span>​3</span><span>​​</span></span></span><span>(y−1)</span>=x</span></span>
3 Switch sides
<span><span>x=\log_{3}{(y-1)}<span>x=<span><span>log</span><span><span>​3</span><span>​​</span></span></span><span>(y−1)

HOPE THIS HELPS!!! will it?


</span></span></span><span>
</span></span>
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