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प्रश्न
Find x.
5x + 5x – 1 = 750
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उत्तर
We have, 5x + 5x – 1 = 750
⇒ `5^x + 5^x/5 = 750` ...`[∵ a^-m = 1/a^m]`
⇒ `5^x (1 + 1/5) = 750`
⇒ `5^x (6/5) = 750`
⇒ `5^x = 750 xx 5/6`
⇒ 5x = 125 × 5
⇒ 5x = 625
⇒ 5x = 54
On comparing the power of 5, we get
x = 4
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संबंधित प्रश्न
Simplify :
(– 4)5 × (– 4)-10
The value of `(-2/3)^4` is equal to ______.
For a non-zero rational number p, p13 ÷ p8 is equal to ______.
`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`
(–2)0 = 2
(–6)0 = –1
ap × bq = (ab)pq
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

Find a repeater machine that will do the same work as a `(xx 1/8)` machine.
The left column of the chart lists the lengths of input chains of gold. Repeater machines are listed across the top. The other entries are the outputs you get when you send the input chain from that row through the repeater machine from that column. Copy and complete the chart.
| Input Length | Repeater Machine | ||
| × 23 | |||
| 40 | 125 | ||
| 2 | |||
| 162 | |||
