<header class="main-header">
  <a class="icon" href="https://replace.org.ua">
    <img src="https://upload.wikimedia.org/wikipedia/commons/thumb/1/18/Internet_Explorer_10%2B11_logo.svg/1043px-Internet_Explorer_10%2B11_logo.svg.png" alt="">
  </a>
  <div class="buttons">
    <button>Кнопка 1</button>
    <button>Кнопка 2</button>
  </div>
</header>

.main-header {
  display: flex;
  height: 60px;
  background: gray;
  justify-content: space-between;
  padding: 10px;
}

.icon {
  flex: 1;
  height: 100%;
  max-width: 150px;
  display: block;
  background: purple;
}

img {
  max-height: 80%;
  padding: 10px;
}

.buttons {
  display: flex;
  flex-direction: column;
  justify-content: space-evenly;
}